Question

Which of the following linear equations is perpendicular to the line 3x-2y=8 and passes through the point (-3,2)?

A) y= -2/3x
B) y= -2/3x+4
C) y= 3/2x+13/2
D) y= 2/3x+4
E) y= 2/3x

Answer 1

3 x - 2 y = 8

y = 3/2 x - 4 rearranging

y = m x + b standard equation for line

m' = - 2/3 for perpendicular line m m' = -1

y = - 2/3 x + b

b = y + 2/3 x = 2 + 2/3 * -3 = 0 substituting given values

y = 2/3 x required line