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

Answer 1

\(\normalsize\color{blue}{ y = 4x + 2 }\) the slope of a perpendicular line will be -1/m and in this case

-1/4

\(\normalsize\color{blue}{ y = (-1/4)x + b }\) plug in your point and solve for the y-intercept.

Answer 2

so -1/4 is the slope?

Answer 3

yes, \(\normalsize\color{blue}{ y = (-1/4)x + b }\) plug (4,-2) into this and solve for b.

Answer 4

thanks!!!

Answer 5

anytime!