Question

Write the equation of the line in fully simplified intercept form.

Answer 1

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}`

we calculate the slope like this

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

replacing the points (-8,11) and (10, 2)

`m=(2-11)/(10-)-8))=(-9)/(10+8)=(-9)/(18)=-(1)/(2)`

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`