Question

How do you find the slope of a line given the points `(2,2)` and `(5,8)` on the line?

Answer 1

`m = 6/3 =2`

Explanation:

Slope means the steepness or gradient of a line.

It can be described as the `" "("change in the y-values")/("change in the x-values")`

which is sometimes explained as `("rise")/("run")`

The formula is `m = (y_2-y_1)/(x_2-x_1)`

The points are `(2,2)"` as `(x_1,y_1)" and " (5,8)` as `(x_2,y_2)`

`m = (8-2)/(5-2) = 6/3 = 2`

Answer 2

`m=2`

Explanation:

The slope formula determines a slope from two points.

It says that given two points `(x_1,y_1)` and `(x_2,y_2)`, you find the slope from:

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

If we let `(2,2)=(x_1,y_1)` and `(5,8)=(x_2,y_2)`, then we can plug these values into the slope formula.

Note that it does not matter which of the two points you decide to be the "first" or the "second".

`m=(8-2)/(5-2)=6/3=2`