What is the slope of the line passing through the point (4, −2) and perpendicular to the line y = 4x + 2? Write your answer as a fraction. I wrote down y = 4x + 2 on a graph and the coordinates, but I'm not sure how to find the slope that will overlap the coordinates.

Even when I changed the sign from y = 4x + 2 to y = 4x - 2 it was perpendicular, but it didn't overlap the (4, -2)

Question

What is the slope of the line passing through the point (4, −2) and perpendicular to the line y = 4x + 2? Write your answer as a fraction. I wrote down y = 4x + 2 on a graph and the coordinates, but I'm not sure how to find the slope that will overlap the coordinates.

Even when I changed the sign from y = 4x + 2 to y = 4x - 2 it was perpendicular, but it didn't overlap the (4, -2)

saifoo.khan · Answer

A line perpendicular to  y = 4x + 2 (this line has a slope of 4) will have a slope of -1/4.
The formula to find the slope of the perpendicular is:
$$m_1 * m_2 = -1$$Where m1 is your slope of  the line and m2 is the slope of your perpendicular line

saifoo.khan · Answer

https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/v/perpendicular-line-slope https://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/v/equations-of-parallel-and-perpendicular-lines

anonymous · Answer

Oh okay, for some reason I was thinking parallel lines! As soon as I clicked on the video I realized. Thank you!