Coordinate Planes

Lines a and b lie in the same plane. The equation for line a is y = 5x + 3. Line b is parallel to line a. On the coordinate plane, line b passes through -3 on the y-axis. Explain in detail using words and numbers how you can use the equation for line a to write the equation for line b.

What is the equation for line b?

Does line a pass through -3 as well?

dwsmith, the question says that line b is parallel to line a, not perpendicular.