Question

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

Answer 1

I think it should be y=5x+3

Answer 2

y = 5x + 3

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).