Question

Find the equation of the line that passes through the point (8,-7) and is perpendicular to the line y = 1/2x-2

The equation of the line is
(Use integers or fractions for any numbers in the equation. Simplify your answer.)

Answer 1

`y=-2x+9`

Explanation:

Perpendicular lines have slopes that are negative reciprocals of each other, so the line we need to find has a slope of
`-2`.

Using point-slope form,

`y+7=-2(x-8) \\ \\ y+7=-2x+16 \\ \\ y=-2x+9`