Question

How do you find the slope of a line that passes through (-2, -3) and (1, 1)?

Answer 1

Use the slope formula to solve this problem. See explanation below:

Explanation:

Given two points on a line 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 two points from this example gives:

`m = (color(red)(1) - color(blue)(-3))/(color(red)(1) - color(blue)(-2))`

`m = (color(red)(1) + color(blue)(3))/(color(red)(1) + color(blue)(2))`

`m = 4/3`