Question

Question #59fdb

Answer 1

The slope of this line is `m = -5/7`

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 given in the equation produces:

`m = (color(red)(-3) - color(blue)(2))/(color(red)(4) - color(blue)(-3))`

`m = (color(red)(-3) - color(blue)(2))/(color(red)(4) + color(blue)(3))`

`m = -5/7`