what would be the perpendicular equation to y=-3/5x+6

Question

I keep getting a mixed number for the y intercept.

Answer 1

To get the perpendicular line, we need to have the negative reciprocal for the slope. Since the original slope is negative, we need a positive. the reciprocal of 3/5 is 5/3, so the perpendicular slope is 5/3, giving us:

y = (⁵/₃)x + b.

You have not given any sort of point that the line has to go through, so right now, b (your y-intercept) can be any number you want.