ANSWER:
m = -3/4
b = -3
[tex]y=-\frac{3}{4}x-3[/tex]
STEP-BY-STEP EXPLANATION:
We have that the equation in its slope-intercept form is the following:
[tex]\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}[/tex]
We calculate the slope as follows:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
To calculate the slope we use the intercepts that are (-4, 0) and (0, -3), we replace:
[tex]m=\frac{-3-0}{0-(-4)}=\frac{-3}{4}=-\frac{3}{4}[/tex]
Now, the value of b would be -3, since the y-intercept is (0,-3), therefore, the equation would be:
[tex]y=-\frac{3}{4}x-3[/tex]
