Question

What is the slope of the line through (-1,-7) and (3,9)?

Answer 1

The slope is `4`.

Explanation:

We can use the formula for calculating slope on our graph, the formula is the vertical difference over the horizontal difference of the graph. In other words, the formula is

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

So in our case the

• `y_2=9`
• `y_1=-7`
• `x_2=3`
• `x_1=-1`

So if we substitute we can get our equation like this

`"slope" = (9- (-7))/(3- (-1)) =(16)/(4) =4`

Hope this helps!

Answer 2

`4`

Explanation:

The slope (or gradient, `m`) is given by the difference in the `y` ordinates divided by the difference in the `x` ordinates as follows:

`m=(9--7)/(3--1)`

`m=16/4`

`m=4`