marco is trying to determine whether the following two lines are parallel.

Question

y - 2/3x + 7
y = 2/3x - 5
which statement correctly describes the approach marco should take based on the best reasoning?
statement #1 marco says he should verify that the lines have the same slope but differ ent y-intercepts.
statement #2: marco says he should verify that the lines have the same y-intercept but different slopes.

Answer 1

To determine whether two lines are parallel, Marco should focus on the slopes of the lines.

Parallel lines have the same slope but different y-intercepts. Therefore, the correct approach for Marco is correctly stated in:

Statement #1: Marco says he should verify that the lines have the same slope but different y-intercepts.

So, the correct statement is Statement #1.