Question

How do you find the slope of (1, 7) and (-2, -2)?

Answer 1

Use the formula for calculating slope using two points on a line. See the entire explanation 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 two points from the problem gives:

`m = (color(red)(-2) - color(blue)(7))/(color(red)(-2) - color(blue)(1))`

`m = (-9)/-3`

`m = 3`

The slope of the line containing these two points is `3`