Question

Write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(-4,6); y=1/4x-3
(Write an equation for the perpendicular line in slope-intercept form.)

Answer 1

The answer is y=-4/1x+6
or y=-4/1x-6

Answer 2

NOTE: Perpendicular line have opposite(negative) reciprocal slope

For the line y = 1/4x - 3 it has slope of 1/4

but the perpendicular line with point (-4,6) has slope of -4 (negative reciprocal)

(y - y1) = m (x - x1)

(y - 6 ) = -4 (x --4)

(y - 6) = -4 (x + 4)

y - 6 = -4x -16

y = -4x -16 + 6

y = -4x -10