Question

identify an equation in point slope form for the line perpendicular to y=-1/2x+11 that passes though 4,-8

Answer 1

y = 2x - 16

Explanation:

Perpendicular lines have negative reciprocal slopes. Since the slope of one line is -1/2, its perpendicular line will have the slope of 2.

Substitute m = 2 and (4, -8) into the point slope form of a line.

`y - y_1 = m(x-x_1)\\y - -8 = 2(x -4)\\y +8 = 2(x-4)\\y + 8 = 2x - 8\\ y = 2x - 16`