Find the equation of the line passing through (-1 , -4) and parallel to -7x+6y=8 slope intercept

Answer 1

Since your new line is parallel to the given line, it will differ only in the constant, so it will be

-7x + 6y = c
plug in the given point:
-7(-1) + 6(-4) = c
c = -17

new equation:
-7x + 6y = -17

or
6y = 7x - 17
y = (7/6)x - 17/6