Question

The equation for line r can be written as y= 1/2 x+8. Line s, which is perpendicular to line r, includes the point (2, – 7). What is the equation of line s?

Answer 1

y = -2x - 3

Explanation:

The slopes of two perpendicular lines are negative reciprocals of each other. So slope of s is -2

using m = -2, x = 2, y = -7

y = mx + b

-7 = (-2)(2) + b

-7 = -4 + b

b = -3

y = -2x - 3