Hello from MrBillDoesMath!
Answer: y = -4x - 9
Discussion: The equation of a non-vertical line is given by y = mx + b. The line parallel to y = -4x +5 has the same slope, so m = -4. That means the parallel line looks like this:
y = -4x + b
As the parallel line passes through (-2, -1), via substitution,.
-1 = -4 (-2) + b or
-1 = 8 + b.
Subtract 8 from each side:
-1 -8 = b
or
b = -9
Thank you,
MrB
