Question

If y=12x-7 were changed to y=12x+1, how would the graph of the new function compare to the original?

Answer 1

a) y=12x-7 and b) y=12x+1.

1st, these 2 functions are parallel since they have the same slope (m=12)
2nd in a) For x = 0, y = -7, meaning the line intersects with y-axis at y=-7
3rd in b) For x = 0 , y = +1, meaning the line intersects with y-axis at y=1

Answer 2

when we have the equation of a line y=mx+b, the "b" value tells you how high or low the line is. your b value when from -7 to 1. with the -7, each point on the line would have been lowered 7 units from its original position. changing the -7 to a 1 will raise the line y=12x+1 8 units, because 1-(-7) = 1+7 = 8.