Question

What is the slope of the line passing through the following points: `(1, -1); (8,12)`?

Answer 1

slope = `13/7`

Explanation:

`m=(y_1-y_2)/(x_1-x_2)`
`m=(12-(-1))/(8-1)=13/7`

Answer 2

`m=13/7`

Explanation:

Strategy: Use the slope formula and plug in the points you have been given.

Step 1. Use the slope formula

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

Notice this is the same as `("rise")/("run")`. One way to remember which variable goes in the numerator is that `y`'s rhymes with "rise", which rises to the top.

Step 2. Plug in your points.

You are given
`x_1=1` and `y_1=-1`
`x_2=8` and `y_2=12`

`m=(12-(-1))/(8-1)=(12+1)/(7)=13/7`