Question

What is the slope of the line that contains these points?
5 6 7 8
y-3-1 13
slope:

Answer 1

Slope: 2

Explanation:

Given the table

`\begin{array}{ccccc}x&5&6&7&8\\ \\y&-3&-1&1&3\end{array}`

means the line passes through the points (5,-3), (6,-1), (7,1) and (8,3).

The slope of the line passing through the points
`(x_1,y_1)` and
`(x_2,y_2)` is

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

So, the slope of the line is

`(-1-(-3))/(6-5)=(-1+3)/(1)=2`