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

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