The slope-intercept form of a line: y = mx + b
m - slope, b - y-intercept
We have:
y-intercept = -8. Substitute:
y = mx - 8
x-intercept = -6 for y = 0. Substitute:
0 = m(-6) - 8
0 = -6m - 8 |+6m
6m = -8 |:6
m = - 8/6
m = - 4/3
Answer; y = - 4/3 x - 8