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

Question

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.

(1 point)
Statement #
describes the approach Marco should take based on the best reasoning.
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Answer 1

To determine whether two lines are parallel, we need to compare their slopes.

The lines given are:

1. \( y = 23x + 7 \)
2. \( y = 23x - 5 \)

Both lines have the same slope, which is 23. For lines to be parallel, they must have the same slope but different y-intercepts. In this case, the y-intercepts are 7 and -5, which are indeed different.

Therefore, the correct statement that describes the approach Marco should take is:

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