Question 1036794
The given slope is m = 7. The line goes through (-1,8) which means x = -1 and y = 8


So we have these three pieces of info:
m = 7
x = -1
y = 8


We will plug those three pieces of info into y = mx+b then solve for b.


y = mx+b
8 = 7*(-1)+b
8 = -7+b
8+7 = -7+b+7
15 = b
b = 15


So the y intercept is b = 15.


Because m = 7 and b = 15, this means y = mx+b turns into <font color=red>y = 7x + 15</font> which is the final answer.