We have the following:
The equation in its slope-intercept form is as follows:
![\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/6e53har0gs1qq6h5u8xxyvykcagb6i89u2.png)
we calculate the slope like this
![m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/78uaqhwt0aws3qfwxigaftpihnmb1gzxtp.png)
replacing the points (-8,11) and (10, 2)
![m=(2-11)/(10-)-8))=(-9)/(10+8)=(-9)/(18)=-(1)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/z4k9zg5jfocs71fzkd8zl40winsoaodj3i.png)
In this case the y-intercept can be seen in the graph y is (0,7), therefore the value of b is 7
Therefore, the equation would be:
![y=-(1)/(2)x+7](https://img.qammunity.org/2023/formulas/mathematics/high-school/6v2yqhvr0pn2i54qqm3th0n5bz1vi4imh3.png)