Write the equation of the line containing the given point and parallel to the given line.

Question

The equation of the line is y= ?...

1. Express your answer in the form y=mx+b.
(7,8); x+7y=6

2. Express your answer in the form y=mx+b.
(-4,8); 8x=7y+9

3. Express your answer in the form y=mx+b.
(8,9); 5x+y=9

4. Express your answer in the form y=mx+b.
(2,-6); 8x+7y=5

Answer 1

I will do one of them for you

#2.
parallel to 8x= 7y + 9 , so the only thing that will change is the constant
new equation:
8x = 7y + k
sub in the point (-4,8)
-32 = 56 + k ---> k = -88
new equation : 8x = 7y + 88
7y = 8x - 88
y = (8/7)x - 88/7