Find the equation in slope-intercept form of a perpendicular line

Question

A line passes through the points (-12,-10) and (-9,-1). Find the equation in slope-intercept form of a perpendicular line that passes through the point (-9,-1).

Answer 1

1. determine the slope through (-12, -10) and (-9, -1)

2. determine the negative reciprocal of that number, i.e., -1/m

3. substitute that slope, -1/m, and the ordered pair (-9, -1) into y = mx + b