Question

How do you find slopes of two points for example (9, 6) and (4, 4)?

Answer 1

`m = (2)/(5)`

Explanation:

Slope is equal to the change in y over the change in x, or rise over run.

`m = (change \: in \: y)/(cahnge \: in \: x)`

The change in x is equal to the difference in x-coordinates and the change in y is equal to the difference in y-coordinates.

`m = (y2 - y1)/(x2 - x1)`

Substitute in the values of x and y into the equation to find the slope.

`m = (4 - (6))/(4 - (9))`

Simplify.

`m = (2)/(5)`

Therefor, the answer is m = 2/5.

Answer 2

`(2)/(5)`

Explanation:

Use the following equation:

slope (m) =
`(y_2 - y_1)/(x_2 - x_1)`

Let:

`(x_1 , y_1) = (4 , 4)\\(x_2 , y_2) = (9 , 6)`

Plug in the corresponding numbers to the corresponding variables:

m =
`(6 - 4)/(9 - 4) = (2)/(5)`

`(2)/(5)` is your slope.