Which is the equation of a line that is perpendicular to the line represented by y=5x+6?

A.
y=51x−6

B.
y=6x+5

C.
y=5x−16

D.
y=−15x+6

3 answers

The line represented by y = 5x + 6 has a slope of 5. The slope of a line perpendicular to this line would be the negative reciprocal of 5, which is -1/5.

Therefore, the equation of a line that is perpendicular to y = 5x + 6 would have a slope of -1/5.

The correct equation from the given options is:

B. y = 6x + 5
no, B has slope 6
You want D: y = -1/5 x + 6

By now you should have learned that many users can't type fractions.
Apologies for the error. You are correct that the line perpendicular to y = 5x + 6 should have a slope of -1/5.

The correct equation of the line that is perpendicular to y = 5x + 6 is:

D. y = -1/5 x + 6

Thank you for pointing out the mistake, and I appreciate your understanding.