Question

How do you find the slope of the line passing through (-2, 5) and (5, -6)?

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)(-6) - color(blue)(5))/(color(red)(5) - color(blue)(-2)) = (color(red)(-6) - color(blue)(5))/(color(red)(5) + color(blue)(2)) = -11/7`