Write the equation in slope-intercept form through (-8, 7) and Perpendicular to y=4 x

Answer 1

slope = -1/4 for the perpendicular line, the negative inverse of 4

(-8,7) has a slope of (y-7)/(x+8)

set them equal

(y-7)/(x+8) = -1/4

y - 7 = (-1/4)x - 2

y = (-1/4)x +5 is the perpendicular line through the given point