MATH SOLVE

5 months ago

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

Accepted Solution

A:

Answer:A: y = 4x + 7Step-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