The given slope is 2/5 and the line passes through the point (-4,-7)
The equation for the line in the point-slope form is
[tex] \frac{y-(-7)}{x-(-4)} = \frac{2}{5} \\\\ \frac{y+7}{x+4} = \frac{2}{5} [/tex]
That is,
[tex]y+7= \frac{2}{5} (x+4)[/tex]
Answer:
[tex]y+7= \frac{2}{5} (x+4)[/tex]