Respuesta :

Answer:

-12

Step-by-step explanation:

Slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.

We are given m=-7 and a point (x,y)=(-1,-5) in on the line.

Entering this information into y=mx+b, we will be allowed enough information to find the y-intercept, b.

y =mx+b with m=-7 and (x,y)=(-1,-5):

-5=-7(-1)+b

-5=7+b

Subtract 7 on both sides:

-5-7=b

-12=b

So the y-intercept is -12.