Question

Which is the equation of a line that is perpendicular to the line represented by. Y=3/4 X+ -1/2

Answer 1

`y = -(4)/(3)x - (1)/(2)`

Explanation:

`y = (3)/(4)x - (1)/(2)`

The perpendicular slope is the negative reciprocal of 3/4, which is -4/3, so the equation of a line perpendicular to the equation must have a slope of -4/3, so for simplicity I will use the same y-intercept, giving you:

`y = -(4)/(3)x - (1)/(2)`