Question

What is the slope of the line that contains the points (- 3,6) ( 2,3)?

Answer 1

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)(3) - color(blue)(6))/(color(red)(2) - color(blue)(-3)) = (color(red)(3) - color(blue)(6))/(color(red)(2) + color(blue)(3)) = -3/5`