Find the equation in standard form for the line passing through (−5, 8) perpendicular to the line through the origin with slope 0.5

Question

Calc 1 Homework Problem

Answer 1

Perpendicular lines have slopes that are negative reciprocals of each other. Since the slope of the given line is 1/2, the slope of the perpendicular line will be -2.

Now, use the Point-Slope form of the equation of a line -

y - y₁ = m(x - x₁)

y - 8 = -2(x + 5)

y - 8 = -2x - 10

2x + y + 2 = 0

Answer 2

y - 8 = -2 (x + 5)

=> 2x + y = -2