Question

Answer choices

Answer 1

The point slope formula of a line:

$y-y_1=m(x-x_1)$

$m=\dfrac{\Delta y}{\Delta x}\\\\\Delta y=-3,\ \Delta x=5\\\\m=\dfrac{-3}{5}=-\dfrac{3}{5}$

$(-2,\ 3)\to x_1=-2,\ y_1=3$

Substitute:

$y-3=-\dfrac{3}{5}(x-(-2))\\\\y-3=-\dfrac{3}{5}(x+2)$

Answer: B.