What is the slope of a line that is perpendicular to the line y=3/4-6

A.-4/3

B.-3/4

C. 3/4

D. 1/6

The slope would be A) - 4/3. This is because for a line to be perpendicular, the slope has to be a negative reciprocal of the previous one. 3/4 as a reciprocal is 4/3, and then it needs to be made negative. So, the slope should be - 4/3.