Find the equation of the line through point (−5,5) and perpendicular to y=5/9x−4. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 1/2).

Answer 1

-9/5 is the negative inverse of 5/9 and is the slope of the perpendicular line

y=(-9/5)x + b solve for b the y intercept, by plugging in the point (-5,5)

5 = (-9/5)(-5) + b

5 = 9 + b

b = -4

y= (-9/5)x -4 is the perpendicular line through the given point