Question

How do you find the slope given (4,2) and (9,-4)?

Answer 1

See the 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 two points in the problem gives:

`m = (color(red)(-4) - color(blue)(2))/(color(red)(9) - color(blue)(4))`

`m = -6/5`

The slope is `-6/5`