Question

What is the slope of the line passing through the following points: `(4,7) ,(1,-1)`?

Answer 1

The slope, `m`, is `8/3`.

Explanation:

The equation to find the slope of a line from two points is `m=(y_2-y_1)/(x_2-x_1)`, where `m` is the slope, `(x_1,y_1)` is the first point, and `(x_2,y_2)` is the second point.

First point: `(4,7)`
Second point: `(1,-1)`

Substitute the given values into the equation.

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

`m=(-1-7)/(1-4)`

Simplify.

`m=(-8)/(-3)`

Simplify.

`m=8/3`

Note: It doesn't matter which point is first or second, as long as you are consistent.