Question

X 0 1 2 3 y 3 5.5 8 10.5

Answer 1

Given:

The objective is to find the slope of the given coordinates.

Consider any two coordinates.

`\begin{gathered} (x_1,y_1)=(0,3) \\ (x_2,y_2)=(1,5.5) \end{gathered}`

The formula to find the slope is,

`\begin{gathered} m=(\Delta y)/(\Delta x) \\ m=(y_2-y_1)/(x_2-x_1) \end{gathered}`

Now, substitute the given coordinates in the formula of slope.

`\begin{gathered} m=(5.5-3)/(1-0) \\ m=(2.5)/(1) \\ m=2.5 \end{gathered}`

Hence, the slope of the given table is 2.5.