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

Question

The equation of the line is y=

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

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

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

Answer 1

You do them all the same way. I will only do one.

7 y = -x + 6
y = (-1/7) x + 6/7

slope = m = -1/7
parallel line is of form
y = (-1/7) x + b
solve for b with given point on line
8 = (-1/7)7 + b
8 = -1 + b
b = 9
so
y = (-1/7) x + 9