Perpendicular Line

Question

Which of the following is the equation of a line perpendicular to the line y=-3/2 x + 4 passing through the point (3,9)
A.) 2x - 3y = 21
B.) -2x + 3y = 21
C.) 2x + 3y = 21
D.) -2x - 3y = 21

Answer 1

B) -2x+3y=21

           3y=2x+21

             y=(2/3)x+7

the slope of the perpendicular line will be the negative reciprocal of (-3/2) which is (2/3)

using the point (3,9) we have 9=(2/3)(3)+7

                                            9=2+7

                                            9=9