Question

Find the equation of the linear function represented by the table below inslope-intercept form.ху-3-5175199.31

Answer 1

The slope-intercept form of the equation of a straight line is given as shown below:

`y=mx+b`

where

`\begin{gathered} m=\text{ slope} \\ b=\text{ y-intercept} \end{gathered}`

Let us calculate the parameters from the table:

SLOPE:

The formula for calculating the slope of a line is given as:

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

We can pick a pair of ordered points from the table as shown below:

`\begin{gathered} (x_1,y_1)\to(1,7) \\ (x_2,y_2)\to(9,31) \end{gathered}`

Therefore, we can calculate the slope to be:

`\begin{gathered} m=(31-7)/(9-1) \\ m=(24)/(8) \\ m=3 \end{gathered}`