Question

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

y + 3 = −5(x − 2)

y − 2 = −5(x + 3)

y + 3 = −1/5(x − 2)

y − 2 = −1/5(x + 3)

Answer 1

use the formula \[\large y - y_1 = \frac{y_2 - y_1}{x_2 - x_1} (x - x_1)\]

Answer 2

line direction vector (2-(-3),1-2)=(5,-1)
so slope =-1/5
so it's y + 3 = −1/5(x − 2)