Given the line y = 2x - 5; what value of y in the following ordered pairs would create a line parallel to the given line? (3, -1) and (7, y)

Answer 1

Parallel lines have the same slope.

So, we have (y - (-1)) / (7 - 3) = 2

y + 1 = 8

y = 7

Answer 2

What is the slope, m, of y = 2x + 5?

Use that slope, m, in definiton of slope

(y + 1) / (7 - 3) = m