Question

Y=2/3x-4 and y=-3/2x+1 are perpendicular lines. Jack notices that the product of the two perpendicular slopes is -1. If a line has a slope of a/b, determine the perpendicular slope, and then show that the product is-1.

Answer 1

Slope = -b/a.

Explanation:

Note that the relation between 2/3 and -3/2 is that their product is -1.

If the slope is a/b then we have a/b * m = -1 where m is the slope of the perpendicular line .

So m = -1 / a/b

= -b/a.

The produce = a/b * -b/a = -1.