Question

Find the slope-form of the line perpendicular to y=-2x-1 , passing through (4, -3)

Answer 1

y = 1/2x - 5

Explanation:

y = -2x -1 => m = -2

Lines that are perpendicular will have negative reciprocal slopes

so m of perpendicular line = - (1/-2) = 1/2

given m = 1/2, x = 4, y = -3

y = mx + b

-3 = 1/2(4) + b

-3 = 2 + b

b = -5

=> y = 1/2x - 5