The equation of line s is x + 8y = –8 . Parallel to line s is line t , which passes through the point (5, –1) . What is the equation of line t ?
x + 8y = - 8
8y = -x - 8 divide through by 8
y = (-1/8)x - 1
Since they are parallel ....slope of s = slope of t = -1/8
So the equation for t is
y =(-1/8) (x -5) - 1 multiply yhrough by 8
8y = - (x - 5) - 8
8y = -x + 5 - 8
x + 8y = -3