Question

The line passes through the point (-7,-5) and has slope of -8

Answer 1

`y=-8x-61`

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.

`y=-8x+b`

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.

`-5=-8(-7)+b`

Then, we solve.

`-5=56+b`

Subtract 56 from both sides.

`-61=b`

Finally, we get this equation:

y=-8x-61