What is the answer to this question?

Question

Write an equation for the line parallel to y=4x+7 that passes through the point (-2,-9)

Answer 1

y= 4x +7 has slope =4 = the coefficient of the x term (ignore the 7, it's fairly irrelevant to the problem)

y=4x + b i the parallel line, to find b, plug in the point (-2,9) x=-2, y=9

9 =4(-2)+b

9 =-8 +b

b =9+8 =17

y =4x +17 is the parallel line through the given point

check the answer

9=4(-2)+17 =-8+17= 9