Question

Using the similar triangles, which equation could be used to find the slope of line AB?

A)slope=p/q

B)slope=q/p

C)slope=n/m

D)slope=q/n

Answer 1

A) slope = p/q

Explanation:

Slope of any given can be found using the formula,
`(rise)/(run) = (y_2 - y_1)/(x_2 - x_1)`.

In this case, using similar triangles, the rise over the run of any of the given similar triangles will give us the slope of line AB.

This means, slope of line AB would be:

`(rise)/(run) = (m)/(n) = (p)/(q) </p><p>`.

✅Therefore, slope of line AB = p/q