Answer:
the desired equation is y = – 4x + 3
Step-by-step explanation:
Parallel lines have the same slope and thus similar equations. Thus, the equation of a line parallel to the given line has the form y = – 4x + C. We need only find C.
The new line goes through (2, -5), and so we substitute 2 for x and -5 for y to obtain
-5 = – 4(2) + C. Then -5 + 8 = C, or C = 3.
Then the desired equation is y = – 4x + 3
