Question

What is the slope of a line going through `(9, -19)` and `(-6, -4)`?

Answer 1

See the entire solution process and answer 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)(-19) - color(blue)(-4))/(color(red)(9) - color(blue)(-6)) = (color(red)(-19) + color(blue)(4))/(color(red)(9) + color(blue)(6)) = (-15)/15 = -1`