Which answer does NOT correctly describe the graph of y = 5x + 12?
The answer choices are 1. The Line Has A Constant Rate Of Change 2. The Graph Contains The Point (5, 12) 3. The Line Crosses The y-axis 12 Units Above The Origin 4. The Slope Of The Line Can be written as 5/1
Answers
2. The Graph Contains The Point (5, 12)
ExplanationRemember that in a linear function of the form [tex]y=mx+b[/tex], [tex]m[/tex] is the slope/rate of change of the line and [tex]b[/tex] is the y-intercept.
From our equation we can infer that [tex]b=12[/tex], so the y-intercept of our graph is 12 units above the origin on the point (0, 12). Therefore, choice 2 correctly describe the graph of y = 5x + 12
We can also infer that [tex]m=5[/tex], so the slope of our line is 5, which is constant, so our line has a constant rate of change. Also, since every integer can be written as a fraction with denominator 1, we can write our slope as [tex]m=\frac{5}{1}[/tex]. Therefore, choices 1 and 2 correctly describe the graph of y = 5x + 12.
Now, remember that any point on the plane has coordinates [tex](x,y)[/tex], so, to check if a point is on a line, we just need to replace the [tex]x[/tex] and [tex]y[/tex] values in the line equation and check if the equation holds. Our point is (5, 12), so x = 5 and y = 12. Lets replace the values in our line:
[tex]y=5x+12[/tex]
[tex]12=5(5)+12[/tex]
[tex]12=25+12[/tex]
[tex]12\neq 37[/tex]
Since the equation equation doesn't hold (12 is not equal 37), we can conclude that the graph doesn't contain the point (5, 12). Therefore, choice 2 does NOT correctly describe the graph y = 5x +12.
Answer:
The graph contains the point (5,12)
I got it right on t t m
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Answer:
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Step-by-step explanation:
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I solved by adding the equations. The solution is .
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-2y = -6x + 10...reduce by dividing by -2
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y = 3x + 2 ...slope = 3, y int = 2
These lines are parallel. Parallel lines will have the same slope, but different y int's. There is no solution to this because ur lines never intersect.
Mark's answer is correct
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reduce by dividing by -2
y = 3x - 5
slope = 3 and y int = -5
y = 3x + 2
slope = 3, y int = 2
These lines are parallel. Parallel lines will have the same slope, but different y integers. There is no solution to this because the lines never intersect.
Mark's answer is correct
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hmm
wait a minute
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divide both sides by 2 to make it easier
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Explanation:To solve this problem, we need to understand that Phil must have bought a number of hot dog packs where the total number of hot dogs (10 per pack) ends with a 4. This is because after eating some, he had 4 hot dogs leftover. If he bought 1 pack of hot dogs, he'd have 10. This does not work because it doesn't end with 4. However, if Phil bought 2 packs, this would give him 20 hot dogs, which does end with 0.
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sub
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Answer:
the answer to this is A
Step-by-step explanation: