Question

Find the equation of the line that contains the point (6, - 2) and is perpendicular to the line y = - 2x + 8.


O y = 3x - 5
O y = - x
O y = 2x - 14
O y = - 2x + 10

Answer 1

Possible Answers:

y = 1/4x + 17

y = -4x + 17

y = 3x + 5

y = 4x - 17

Correct answer:

y = -4x + 17

Explanation:

Using the slope intercept formula, we can see the slope of line p is ¼. Since line k is perpendicular to line p it must have a slope that is the negative reciprocal. (-4/1) If we set up the formula y=mx+b, using the given point and a slope of (-4), we can solve for our b or y-intercept. In this case it would be 17.