Question

Which equation represents a line that is perpendicular to y=x?

A.

y=2x

B.

y=−x+6

C.

y=−2x

D.

y=x+1

Answer 1

B

Explanation:

The general equation of a straight line can be represented as;

y = mx + b

where m is slope

If two lines are perpendicular, the product of their slopes will be -1

So since the slope of the first line is 1, then the slope of the second line will be -1

Out of all the options, only have its slope as -1 and this y = -x + 6 and this is our answer