find the equation of the line theough (2,-2) which is perpendicular to the line y= x/4 + 7

Answer 1

y = -4x + b plug in x=2, y=-2 to solve for b= the y intercept

-2 = -4(2) + b

b = -2 + 8 = 6

b = 6

y = -4x + 6 is the perpendicular line through the point (2,-2)

perpendicular lines have slopes that are the negative inverse. -4 is the negative inverse of 1/4