Line that passes through (7,10) and is perpendicular to y=1/2x−9

y = -2x + 24

Explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

Random Point (7, 10)

Perpendicular to y = 1/2x - 9

Step 2: Find slope of perpendicular line

The perpendicular slope is the negative reciprocal of the given slope.

m = -2

y = -2x + b

Step 3: Find y-intercept b of perpendicular line

10 = -2(7) + b

10 = -14 + b

b = 24

Step 4; Write perpendicular line

y = -2x + 24