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

Answer:

$\large\boxed{y-1=-\dfrac{1}{5}(x-2)}$

Step-by-step explanation:

The point-slope form of a line:

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

m - slope

(x₁, y₁) - point

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:

$m=\dfrac{1-2}{2-(-3)}=\dfrac{-1}{5}=-\dfrac{1}{5}$

$y-1=-\dfrac{1}{5}(x-2)$