Line AB has an equation of a line y = 5x - 2. Which of the following could be an equation for a line that is parallel to line AB? y = 5x + 3, y = 1 over 5x + 3, y = - 5x + 3, y = - 1 over 5x + 3

y = 5x + 3

Step-by-step explanation:

Parallel lines have the same slope.

Your function is

y = 5x - 2

slope = 5

The line must have slope = 5.

(a) y = 5x + 3

slope = 5, ∴ Parallel.

(b) y = 1 / (5x) + 3.

Not a straight line. ∴ Not parallel.

(c) y = - 5x + 3

slope = - 5 ∴ Not parallel.

(d) y = - 1 / (5x) + 3

Not a straight line. ∴ Not parallel.

The Figure below shows the graph of y = 5x - 2 (black) and that of the parallel line y = 5x + 3 (green).

I think it should be y=5x+3