Question

choose the point-slope form of the equation below that represents the line that passes through the points (-3,2) and (2,1)

Answer 1

The point-slope form:

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

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-3, 2) and (2, 1). Substitute:

$m=\dfrac{1-2}{2-(-3)}=\dfrac{-1}{5}=-\dfrac{1}{5}\\\\y-2=-\dfrac{1}{5}(x-(-3))\\\\\boxed{y-2=-\dfrac{1}{5}(x+3)}\\\\or\\\\\boxed{y-1=-\dfrac{1}{5}(x-2)}$