12. Write the equation in slope-intercept form of the line that passes through (4, −5) and is perpendicular to the graph of y = 4x + 12.

Answer 1

y =4x + 12

a perpendicular line has slope that's the negative inverse of 4: -1/4

y=(-1/4)x + b

plug in the point to solve for b

-5 = (-1/4)(4) + b

b= -5 +1 = -4

y= (-1/4)x -4 in slope intercept form. -4 = the y intercept