Find an equation of the line that passes through (-5,-7) and that is parallel to 5x+9y+18=0. Give the answer in slope intercept form

Answer 1

5x + 9y + 18 = 0

9y = -5x - 18

y = -(5/9)x - 2

So, the line has slope -5/9, and so does any line parallel to the given line.

Equation of line with slope -5/9 and containing the point (-5, -7) is y - (-7) = -(5/9)[x - (-5)]

y + 7 = -(5/9)x - 25/9

y = -(5/9)x - 88/9, or equivalently 5x + 9y = -88