Line L has equation y = 4x - 7, and line M is parallel to line L and passes through the point (2, 15). Determine the equation of

Question

3 years ago

9

line M. A) y = 4x + 7 B) y = 2x + 7 C) y = 4x + 15 D) y = 2x + 15

1 answer:

Artist 52 [7] · Answer 1 · 2022-08-16T16:51:00+03:00

Answer:

A: y = 4x + 7

Step-by-step explanation:

Step 1: Our line is parallel to this line, so it has the same slope, but a different y-intercept, so set up the equation...

y = 4x + b

We are given a point (x, y) of (2, 15), so plug that in and solve for b.

15 = 4(2) + b

15 = 8 + b (simplify)

7 = b (subtract 8 from both sides to isolate b)

So the equation of our line is y = 4x + 7