Question

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.

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

Answer 1

Statement #1 describes the approach Marco should take based on the best reasoning.

To determine whether two lines are parallel, one should check if they have the same slope. In the equations given:

1. \( y = 23x + 7 \) has a slope of 23.
2. \( y = 23x - 5 \) also has a slope of 23.

Since both lines have the same slope (23) but different y-intercepts (7 and -5), it confirms that the lines are indeed parallel. Therefore, Statement #1 is the correct approach.