Question

A line is perpendicular to y = -1/3x + 7 and intersects the point (4, 2). What is the equation of this perpendicular line?

Answer 1

y = 3x - 10

Explanation:

y = -1/3 x + 7

m = - 1/3

slope of perpendicular line m' = - 1/m = 3

for point (4,2)

y = m'x + b ... y intercept

y = 3 x + b

b = y - 3x = 2 - (3 x 4) = - 10

equation of perpendicular line: y = 3x - 10

Answer 2

Answer: y=3x−10

Step-by-step explanation: Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1)

to find the line perpendicular to y=−13x+7.

y=3x−10