Answer:
[tex]y=-8x-61[/tex]
Step-by-step explanation:
The slope-intercept form of the equation is y=mx+b where m is the slope and b is the y intercept. We know so far, that the slope is -8. We plug that in for m.
[tex]y=-8x+b[/tex]
Now, we need to find the y-intercept. The question gives us the point (-7,-5). We plug in -7 for x, and -5 for y.
[tex]-5=-8(-7)+b[/tex]
Then, we solve.
[tex]-5=56+b[/tex]
Subtract 56 from both sides.
[tex]-61=b[/tex]
Finally, we get this equation:
y=-8x-61
