Question

Find the equation of the line graphed below. Write the equation in the form y = mx + b and identify m and b m = b =

Answer 1

m = -3/4

b = -3

`y=-(3)/(4)x-3`

Explanation:

We have that the equation in its slope-intercept form is the following:

`\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}`

We calculate the slope as follows:

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

To calculate the slope we use the intercepts that are (-4, 0) and (0, -3), we replace:

`m=(-3-0)/(0-(-4))=(-3)/(4)=-(3)/(4)`

Now, the value of b would be -3, since the y-intercept is (0,-3), therefore, the equation would be:

`y=-(3)/(4)x-3`