Find the equation of the line that is parallel to the graph of 2x-7y=8 and passes through (-1,-1)

Solve for y

-7y = - 2x + 8

y = (2/7) x - 8/7

A parallel line has the same slope as the given line. The slope of the given line is (2/7)

y = (2/7) x + b Now we have to find b using (-1,-1). When x = - 1 so does y

-1 = (2/7) * (-1) + b

-1 + 2/7 = b

b = - 5/7

The line is

y = (2/7) x - 5/7