Question

How do you find the slope of `(-5, 6), (7, -8)`?

Answer 1

See a solution process below:

Explanation:

The slope can be found by using the formula: `m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))`

Where `m` is the slope and (`color(blue)(x_1, y_1)`) and (`color(red)(x_2, y_2)`) are the two points on the line.

Substituting the values from the points in the problem gives:

`m = (color(red)(-8) - color(blue)(6))/(color(red)(7) - color(blue)(-5)) = (color(red)(-8) - color(blue)(6))/(color(red)(7) + color(blue)(5)) => -14/12 =>`

`(-(7 xx 2)/(6 xx 2)) => (-(7 xx color(red)(cancel(color(black)(2))))/(6 xx color(red)(cancel(color(black)(2))))) => -7/6`