Answer:
[tex]y=-\frac{5}{6}x-8[/tex]
Step-by-step explanation:
To find slope we need to do [tex]\frac{y2-y1}{x2-x1} \\[/tex]
x1= 0 y1= -8
x2= -6 y2= -3
[tex]\frac{-3-(-8)}{-6-0} =\frac{5}{-6} = -\frac{5}{6} \\[/tex]
Now that we know our slope is -5/6, we need to plug in one of the coordinates we have.
[tex]-8=-\frac{5}{6}(0)+b\\ -8=b[/tex]
Now that we know -8 is b, we plug in the answer into slope intercept form.
[tex]y=-\frac{5}{6}x-8[/tex]
