Question

What is the slope of the line passing through the following points: `(-1,-1) , (2, 5)`?

Answer 1

The slope is `m = 2`

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)(5) - color(blue)(-1))/(color(red)(2) - color(blue)(-1))`

`m = (color(red)(5) + color(blue)(1))/(color(red)(2) + color(blue)(1))`

`m = 6/3`

`m = 2`