A line is perpendicular to y=1/2x-9 and intersects the point (3, 2). What is the equation of this perpendicular line?

Answer 1

y= (1/2)x - 9

a perpendicular line has a negative inverse slope = -2

y=-2x + b. Solve for b by plugging in the point (3,2), 3=x, 2 = y

2 = -2(3) + b

b = 2 +6 = 8

y=-2x + 8 is the perpendicular equation through the point (3,2)