Write an equation for the line parallel to the given line that contains c.

c(3,4); y=6/7x-8

Remember the equation of a line: y=mx + b where m is the slope and b is the vertical offset of the line.

So a line parallel to the equation will have the same slope (m) but a different (b).

The new equation will be y=6/7x + b.

To find b, plug in (3,4) x=3 and y=4 to find the new b since (3,4) is on the new line.

Solve 4=6/7*3 + b

b = 4 - 6/7*3