Question

Answer choices

A- (y-3)=3/5 (x-2)
B- (y-3)=-(3)/(5) (x+2)
C- (y-3)=5/3 (x-2)
D- (y+3)=5/3 (x+2)

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.