Line k passes through the point 6, -7 and has a slope m = -12.

Which is the equation of a line that is parallel to line k and passes through the point -4, 9

y = -12x + 33

Wrong again!!!!!

y = -12x + b
point (-4,9) lies on it, so
9 = -12(-4) + b
-39 = b

the equation you want is
y = -12x - 39

oh, well, at least the robot got the slope correct (since it was given)