Question

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

Answer 1

Explanation:

the answers is A. y=4x+7

Answer 2

A: y = 4x + 7

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