Marco is trying to determine whether the following two lines are parallel.
y=23x+7
y=23x−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 different y-intercepts.
Statement #2: Marco says he should verify that the lines have the same y-intercept but different slopes.
Statement #1: Marco says he should verify that the lines have the same slope but different y-intercepts.
This statement is correct. To determine if the lines are parallel, Marco should check if they have the same slope. In this case, both lines have a slope of 23, which means they are parallel.
Statement #2: Marco says he should verify that the lines have the same y-intercept but different slopes.
This statement is not correct. Checking for the same y-intercept would determine if the lines are coincident or overlapping, not parallel. In this case, the lines have different y-intercepts, which means they are not coincident or overlapping.