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

ANSWER:

m = -3/4

b = -3

$y=-\frac{3}{4}x-3$

STEP-BY-STEP 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:

$m=\frac{y_2-y_1}{x_2-x_1}$

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

$m=\frac{-3-0}{0-(-4)}=\frac{-3}{4}=-\frac{3}{4}$

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

$y=-\frac{3}{4}x-3$