What is the slope of the line passing through the points (2,7) and (-1,3)?

What Is The Slope Of The Line Passing Through The Points (2,7) And (-1,3)?

Answers

Answer 1
the slope of the line is 4/3
Answer 2

Slope of line passing through 2 points, The slope of line passing through points (2,7) and (-1,3) is 4/3.

What is formula for slope of line passing through 2 points?

Slope=(y2-y1)/(x2-x1)

The line is passing through two points (2,7) and (-1,3).

The formula for slope is (y2-y1)/(x2-x1).

x1=2,x2=-1,y1=7,y2=3

Slope=3-7/-1-2

=-4/-3

=4/3

Therefore slope of line is 4/3 if line passing through the points (2,7) and (-1,3).

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Related Questions

What are the names of the eight line section and the six line section that combine to form the 14 lines of a petrarchan sonnet?

Answers

The answer is an octave and a sestet. A sestet is the title specified to the second split of an Italian sonnet (as contrasting to an English or Spenserian sonnet), which must contain of an octave, of eight lines and must be followed by a sestet, of six lines. The first recognized user of this poetical type was the Italian poet named Petrarch.

Jasmine is 23 years old. jasmine is 3 years less than half of george's age. write and solve an equation to find george's age.

Answers

george's age would be x. start with trying 23 times 3 then divide by 2

take 23 and multiply by 3 then divide by 2 and your answer should be x34

This graph of a function is a translation of y = 2/x . What is an equation for the function?
A. y = 2/(x - 6) – 3
B. y = 2/(x – 6) + 3
C. y = 2/(x – 3) - 6
D: y = 2/(x – 3) + 6

Answers

Answer: The answer is C, the rest of the answers are  

1:B

2:C

3:A its a graph

4:C y=2/x-3 -6

5:D19, as of 2019


Step-by-step explanation:


Answer:

The correct option is C) [tex]y=\frac{2}{x-3}-6[/tex]

Step-by-step explanation:

Consider the provided information.

Transformation:

The graph of parent function f(x) move up b unit for f(x)+b.

The graph of parent function f(x) move down b unit for f(x)-b.

The graph of parent function f(x) move left b unit for f(x+b).

The graph of parent function f(x) move right b unit for f(x-b).

Since, the graph of the parent function moves down, Therefore Option Option B and D are incorrect.

Here, we can observe that vertical asymptote shifted from x  = 0  to x = 3.

Horizontal Shift: Right  3  Units

Vertical Shift: Down  6  Units

Therefore, the correct option is C) [tex]y=\frac{2}{x-3}-6[/tex]

South of the White House in Washington, D.C., is the President’s Park South, or the Ellipse, which hosts events such as the White House Garden Tours. The Ellipse is 880 ft from north to south and 1057 ft from east to west. Write an equation in standard form for the Ellipse, centered at the origin.

Note: If any values of a2 or b2 are greater than 1,000, include the comma.

Answers

To answer this, we need to start with the standard equation for an ellipse:
(x^2/a^2)+(y^2/b^2)=1
Where a is one half of one axis, and b is one half of the other.
The problem states that one axis is 1057 ft, and the other is 880 ft, so divide these values by 2 and square them. This results in:
(x^2/279,312.25)+(y^2/193,600)=1
For verification, if you have a graphing calculator, solve for y, set the size of the window so it should perfectly fit the ellipse, and check (it does)
Final answer:

Given the dimensions of the Ellipse, the major axis is the east-west distance (1057 ft) and the minor axis is the north-south distance (880 ft). Taking half these lengths as 'a' and 'b' respectively, the equation of the ellipse in standard form centered at the origin is (x^2/(528.5^2)) + (y^2/(440^2)) = 1.

Explanation:

The given dimensions of the Ellipse represent the lengths of the major and minor axes. In an ellipse centered at the origin, the equation in standard form is given by:

(x^2/a^2) + (y^2/b^2) = 1

where 'a' is half the length of the major axis and 'b' is half the length of the minor axis. Here, since the measurement from east to west (1057 ft) is greater than the measurement from north to south (880 ft), 'a' will have a value of 1057/2 and 'b' will have a value of 880/2. Consequently, the ellipse equation would be:

(x^2/(528.5^2)) + (y^2/(440^2)) = 1

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The initial balance of a mutual fund is $1800. The fund is expected to grow in value at an annual rate of 5%.

Let x represent the number of years since the fund was started. Let y represent the value of the fund x years later.

What equation models the value of the mutual fund x years after it was started?

Answers

Given
Initial balance 1800
Annual rate 0.05
Y the value of mutual fund
X time in years
The equation models the value of the mutual fund is
Y=1800 (1+0.05)^x
Y=1800 (1.05)^x...answer

Hope it helps!

How long will it take for $2800 to grow to $24,900 at an interest rate of 5.6% if the interest is compounded continuously? round the number of years to the nearest hundredth?

Answers

6.42 years the answer

Describe which of the two points lies on the graph of the line
Y-x=4
A. 9,5
B. 5,9

Answers

B. 5, 9

x = 5
y = 9

y - x = 4

(9) - (5) = 4

True

hope this helps

THE TOTAL COST OF A SUIT AND 4 TIES IS $292. THE SUIT COST $200. eACH TIE COST THE SAME AMOUNT. fIND THE COST OF ONE TIE

Answers

a suit and 4 ties = 292
a suit = 200

4 ties = 292 - 200
4 ties = 92
4T = 92

4T/4 = 92/4

T = 23

Each tie costs 23 dollars

hope this helps
okay so with buying a suit and a 4 does for $292.
292-200=92
92÷4=23
23×4=92
so one tie would equal $23 dollars
hope this helps!

Find y to the nearest tenth.

2.7
2.9
7.5

Answers

y = 8 x cos(20)

y = 7.517

y = 7.5

Using sohcahtoa; you have an angle and the hypotenuse. The side you are trying to find is adjacent to the angle therefore you use cos.
Cos(angle)=adjacent side/hypotenuse
Plug in to get cos(20)=y/8
Solve for y to get
Y=8*cos(20)
Solve for y
Y=7.51
Round to the nearest tenth
Y=7.5

Use two or three unit fractions to convert. 1515 daysdaysequals=​_______ secondsseconds

Answers

Fifteen days is equivalent to 1,296,000 seconds, or one million two hundred ninety-six thousand seconds.

It is found that Fifteen days is equivalent to 1,296,000 seconds, Or we can say one million two hundred ninety-six thousand seconds.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We need to find the unit fractions to convert 15 days into seconds.

1 day = 24 hour

1 hour = 60 minutes.

1 minutes = 60 seconds

Therefore, 24 hours = 24 x 60 x 60  = 86400 seconds

There are 86400 seconds in one day.

Then 15 days = 15 x 86400 = 1,296,000

Hence, It is found that Fifteen days is equivalent to 1,296,000 seconds, Or we can say one million two hundred ninety-six thousand seconds.

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I need this asap! Please help me!! Brainliest answer! The line plot below represents the frequency distribution of the number of book reports done by students in grades nine and ten. Each x represents 3 students. How many students did less than 4 or more than 17 reports? 

Answers

there are 16 x's combined after counting them. since once x is 3 students your answer would be 48 students.I hope this helps. :D

In the diagram below XY is the perpendicular bisector of JK. Which of the following statements must be true?

Answers

A perpendicular bisector of a segment divides it into halves forming a right angle with the segment. From this description, we then access the each of the choices.

(1)  A is true.

(2) B is true.

(3) C is false. Since line segment XY is the perpendicular bisector, it is not necessary that P should be its midpoint. 

(4) D is true.

(5) E is false. The same explanation as that of C, P is not necessarily at the center of the line segment XY.

(6) F is true.

Answer:

Step-by-step explanation:

A B D F

Debra travels a distance of 2 miles in 1 minute. how much distance can she cover in 25 minutes? choose the correct equivalent rate.

Answers

50 miles over 25 minutes 

Debra traveled 50 miles in 25 minutes at a rate of 2 miles per minute.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Debra travels a distance of 2 miles in 1 minute.

Which is already in unit measure, therefore to determine the distance traveled by Debra in 25 minutes we'll multiply the distance traveled in 1 minute and the total time  Debra traveled.

= (2×25) miles.

= 50 miles.

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Can you help me solve #s 43 an 44 pleeeease

Answers

43- 3+4+g=10 gardens 

suppose the correlation coefficient between the number of the college students in a city and the number of city buses is 0.89. which statement must be true?

Answers

As the number of college students increases, the number of buses tends to increase.

Answer:

Step-by-step explanation:

Given that the correlation coefficient between the number of college students in a city and the number of city buses is 0.89.

We find that correlation coefficient is a measure of linear association between two variables.

When the absolute value of correlation coefficient is near 1, there is strong correlation. If correlation has a positive sign, there is a posiitive association between the two variables.

Here the correlation coefficient is positive and also near 1.  Thus there is a strong linear correlation between the two variables.

Or whenever there is an increase in one variable there will be an increase in other variable also.

terrell wants to drive his car at a speed of 50 miles per hour for 2.75 hours. his car has a fuel efficiency of 25 miles per gallon. How many gallons of fuel does terrell need for his journey

Answers

Terrell will need 5.5 gallons of fuel
he needs 5.5 gallons for the rest of the journey. Hope you find it helpful.


The width of a rectangle is 2m less than the length. the area is 48m squared. find the dimensions

Answers

Let the length = L
Then the width, W = L - 2

A = LW

48 = L(L - 2)

48 = L^2 - 2L

L^2 - 2L - 48 = 0

(L - 8)(L + 6) = 0

L - 8 = 0   or   L + 6 = -6

L = 8   or   L = -6

Since the length of a rectangle cannot be a negative number,
we discard the -6.

The length is 8m
The width is 2 m less than the length, so the width is 6 m.

The length of the rectangle is 8m and the width is 6m

This question involves the area of a rectangle and we can use the formula to solve this problem.

Data given;

A = 48m^2w = (L - 2)mArea

The area of a rectangle is given as

[tex]A = L * W[/tex]

l = lengthw = width

substitute the values and solve

[tex]A = lw\\48 = L * ( L - 2)\\48 = l^2 -2l\\l^2 -2l - 48 = 0[/tex]

solve this quadratic equation to find the length

a = 1, b = -2, c = -48

[tex]l = \frac{-b+-\sqrt{b^2 - 4ac} }{2a} \\l = \frac{-(-2)+-\sqrt{(-2)^2-4*1*(-48)} }{2*1} \\l = 8[/tex]

Taking only the positive value of l, l = 8

but we also know that

[tex]w = l -2\\w = 8 -2\\w= 6[/tex]

from the above, the length of the rectangle is 8m and the width is 6m

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How does the radius of a positive and negative ion compare to a neutral atom?

Answers

A neutral atom contains equal amount of proton and electron.

A negative ion contains extra electrons hence there is additional outer shell so it is expected that the radius is bigger than that of a neutral atom.

While a positive ion contains less electron so there is less outer shell so the radius is smaller than that of a neutral atom.

 

Arranging the radius in increasing order:

positive ion, neutral atom, negative ion

If HE = 3p + 7, /, LP = 5p – 19, and /, find the values of p and q for which quadrilateral HELP is a parallelogram. A. p = 18, q = 13 B. p = 13, q = 8 C. p = 8, q = 18 D. p = 13, q = 1

Answers

A parallelogram is a quadrilateral with 2 pairs of equal parallel sides. Since we are given only with sides that have the variable p in them, HE and LP, we determine the value of p by equating the expressions. 

 HE = LP :  3p + 7 = 5p - 19
   
Solving for the value of p 
   3p - 5p = -19 - 7
     -2p = -26
     p = 13

We determined the value of p, the answer is either B or D. 

Which quadrilateral HELP is a parallelogram? The corrsect answer is P=13, q=18

Joe walked of a mile in of an hour. what is his unit rate in miles per hour? (1 point) = mile per hour = miles per hour = miles per hour = mile per hour

Answers

"per" means division.
Miles per hour means divide the number of miles by the number of hours.
1 mile in 1 hour = (1 mile)/(1 hour) = 1 mile/hour = 1 mph

Write the equation of the function whose graph is shown.

Answers

Answer:

[tex]y=1(x-5)^2 + 3[/tex]

Step-by-step explanation:

Given : from the graph vertex is (5,3)

Also graph passes through point (8,12)

We use vertex form of quadratic equation

General vertex form is

[tex]y=a(x-h)^2 + k[/tex]

vertex is (5,3)

h= 5 and k =3

So equation becomes [tex]y=a(x-5)^2 + 3[/tex]

Now we need to find out 'a'

We use (8,12) to find out 'a'

Plug in x=8 and y = 12

[tex]12=a(8-5)^2 + 3[/tex]

[tex]12=a(3)^2 + 3[/tex]

12= 9a + 3

subtract 3 on both sides

9 = 9a

divide both sides by 9

so a=1

Final equation is

[tex]y=1(x-5)^2 + 3[/tex]

An equation of the function of this graph is equal to [tex]y=1(x-5)^2 + 3[/tex]

Given the following data:

Points on the x and y-axis = (8, 12).Vertex (h, k)= (5, 3).

How to write a function.

The vertex form of a quadratic equation can be used to write an equation of the function of a graph.

Mathematically, the vertex form of a quadratic equation is given by this formula:

[tex]y=a(x-h)^2 + k[/tex]

Substituting the given parameters into the formula, we have;

[tex]12=a(8-5)^2 + 3\\\\12=(3a)^2+3\\\\9a^2=12-3\\\\9a^2=9\\\\a^2=1[/tex]

a = 1.

For the equation:

[tex]y=a(x-h)^2 + k\\\\y=1(x-5)^2 + 3[/tex]

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Helpppppppppppppppppp

Answers

5^-2 = 1/25

When an exponent is negative, the answer is 1 over x

Do the usual for 5^2, which equals 25
x = 25

1/25 is your answer

hope this helps
The second option would be the answer.

please help and explain to me!

Answers

Normally, the first thing you do is establish the border line, by changing the > into an =. However, in all 4 answers, the line is the same, so that is not what the question is about. We need to know two things:

- do we need to be on the left or the right side of the line to find points that satisfy the equation?
- is the line itself included or not

To start with the second question, since y has to be greater than and not equal, the line itself is NOT included in the solution area. This means the correct answer has to have a dashed line.

The general way to know on which side of the line you have to be, is to fill in one easy point and see if the equation holds. Let's fill in (0,0), (but any point will do).

you get: 0 > 1 - 3*0, which is NOT true. So (0,0) is in an area that is not our solution. The top-right picture is therefore not the answer.

What remains is the bottom-right picture, that is the correct shaded area. All points in the shaded area satisfy the equation.


Which step should be used to prove that point a is equidistant from points c and b? (1 point)?

Answers

 point a is equidistant from points c and b
 mean ac = ab 

Explain the difference between exponential growth and exponential decay

Answers

Exponential growth is the function
[tex]y = a^{x} , a\ \textgreater \ 1[/tex]
Exponential decay is the function
[tex]y = a^{x} , 0\ \textless \ a\ \textless \ 1[/tex]
So, the basic difference is that in growth the base is more than 1, and in decay the base is more than 0 but less than 1.

Final answer:

Exponential growth occurs when a population increases at an increasing rate, whereas exponential decay involves a decrease at a rate proportional to the current size. Logistic growth, adding the concept of carrying capacity, more accurately reflects natural populations with initial exponential increase followed by a plateau as resources become limited.

Explanation:

The key difference between exponential growth and exponential decay lies in the direction and rate at which a quantity changes over time. Exponential growth occurs when a population grows at an increasing rate as time passes, often depicted as a J-shaped curve, whereas exponential decay describes a process of decrease at a rate proportional to the current value, leading to a rapid reduction in size or quantity over time.

In the context of biology and population growth, exponential growth describes how populations can grow dramatically when there are no limits to resources or space. This type of growth can be formalized as a mathematical model where the population after n time periods has increased by a factor of 2n when the base growth rate is 2. In natural populations, this is idealized and does not usually last long as resources become depleted and other limiting factors come into play. On the other hand, exponential decay in biology might refer to the rapid loss of a population due to harsh conditions, lack of resources, or other negative impacts.


Functions f(x) and g(x) are shown below:

f(x) = -4(x - 6)^2 + 3

g(x) = 2 • cos(2 • x - pi) + 4


Using COMPLETE SENTENCES, explain how to find the maximum value for each function and determine which function has the largest maximum y-value.

Answers

Consider f(x) = -4(x - 6)² + 3
This is a parabola with vertex at (6, 3).
Because the leading coefficient of -4 is negative, the curve opens downward, and the vertex is the maximum value.

Answer: Maximum of  f(X) = 3

Consider the function g(x) = 2 cos(2x - π) + 4
The maximum value of the cosine function is 1.
Therefore the maximum value of g(x) is
2*1 + 4 = 6

Answer: Maximum of g(x) = 6

in what quadrant does the angle 11 pi / 4 terminate?

Answers

check the picture below.
Remember quadrants are numbered counter-clockwise,1 through 4 with Quadrant 1 located in the upper-right corner.

What is the area of △ABC?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.

Answers

So area (a) = 1/2 (base)(height) = 1/2bh
We have the b at 25m, but to find the h we need to drop an altitude or apothem down that is perpendicular to the base (90°). Now we have to do some trig to determine that h.
Since we're given that AB is 40m, and <B is 80°, we can set up a SOH-CAH-TOA equation:
The hypotenuse = 40m, and our height is opposite <B, therefore sin (80) = h/40,
h = 40 × sin (80) = 40 × 0.985 = 39.39m
Now, a = 1/2bh = 1/2 (25m)(39.4m)
[tex]a \: = 492.40 \: {m}^{2} [/tex]

Answer: smh

Step-by-step explanation:

Which list contains ONLY rational numbers?

Answers

The answer is C.  1/7, 9, 2 Hoped this helped 
Feel free to ask anymore questions at branily.com 

Answer:

B. [tex]0.4166\overline{6}[/tex], [tex]\sqrt{81}[/tex], [tex]\frac{1}{8}[/tex].

Step-by-step explanation:

We are asked to find the list that contains only rational numbers.

We know that a number is known as rational, when it can be expressed as a fraction.

Upon looking at our given choices, we can see that option B is the correct choice.

In [tex]0.4166\overline{6}[/tex], the digit 6 has a bar on it, this means that it is repeating. We know that a repeating decimal is a rational number.

[tex]\sqrt{81}=9[/tex]. We can represent 9 as a fraction: [tex]\frac{9}{1}[/tex].

[tex]\frac{1}{8}[/tex] is already written as a fraction, therefore, it is a rational number.

Find the quotient and remainder using long division. x6 + 4x4 + 4x2 + 16 x2 + 4

Answers

14x+28
Not 100% sure if this is right. I done this and it’s how I passed. I added all my X’s together and then added the rest of Them. It worked for me but it might not for you.
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