In slope-intercept form, write the equation of a line perpendicular to the equation

Question

In slope-intercept form, write the equation of a line perpendicular to the equation  y=-2/3x+2 passing through point (4,-5)

Answer 1

y = 3x/2 + b perpendicular line has a negative inverse slope, take -2/3, change the sign and flip it upside down

-5 = 3(4)/2 + b solve for b by plugging in the point

b = -5 -6 = -11

y =3x/2 -11 is the perpendicular line through the given point