Question

Find the equation of the line that passes through (3,1) and is parallel to y=2x+1.

Answer 1

9514 1404 393

Answer:

  y = 2x -5

Step-by-step explanation:

The parallel line will differ only in the value of c. That can be found using the given point.

  y = mx +c

  c = y -mx . . . . . . subtract mx to solve for c

  c = 1 -2·3 = -5 . . . . . . the value of m is 2 in the given equation (x, y) = (3, 1)

The equation of the parallel line is ...

  y = 2x -5