Question

Line AB contains points A (1, 2) and B (-2, 6). What is the slope of line AB?

Answer 1

The slope or `m = -4/3`

Explanation:

To find the slope of a line given two points on the line you use the formula for slope.

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 the problem gives:

`m = (color(red)(6) - color(blue)(2))/(color(red)(-2) - color(blue)(1))`

`m = 4/-3`

The slope or `m = -4/3`