Answer:
y = -2x - 1
Step-by-step explanation:
If two lines are parallel, then they must have the same slope but different y-intercepts.
Original line: y = -2x + 7
If we need to find a line parallel to this one, then that line has to have the same slope which is -2. This means you can eliminate B and C.
Now, the new line also has to pass through (0, -1). In order to find out which line is parallel, you have to plug in the coordinate points to its respective places for answer choices A and D.
<u>Choice A:</u>
y = -2x + 6
-1 = -2(0) + 6
-1 = 6
So, the answer is not A. Let's try D.
<u>Choice D:</u>
y = -2x -1
-1 = -2(0) - 1
-1 = -1
So, the answer is choice D.
