There are 21 animals living in the barn. Some are chickens and some are horses. There are 46 legs in all. How many chickens and how many horses are in the barn?

7 horses,and 6 chickens

OK, so we know that every linear function can be written as y=mx+b

So substituting -5 as y and -1 as x we get -5=-m+b

Then substituting -1 as y and 0 as x we get -1=0*m+b=b

solving we get b=-1

so we substitute b=-1 in -5=-m+b and we get -5=-m-1 or -m=-4 which is m=4

so f(x)=4x-1, and the slope is the m in y=mx+b which is 4.

Part B

y intercept is when x=0

Substituting y=0 in f(x)=4x-1 and we get -1

Substituting y=0 in g(x)=4x+3 and we get 3

So y-intercept of g(x) is greater than y-intercept of f(x)

Hope this helps.