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)
Which statement is right

Answer 1

Statement #1 is correct.

To determine if two lines are parallel, you need to verify that they have the same slope but different y-intercepts. In the equations given:

1. \( y = 23x + 7 \) (slope of 23, y-intercept of 7)
2. \( y = 23x - 5 \) (slope of 23, y-intercept of -5)

Both lines have the same slope (23), but different y-intercepts (7 and -5). This confirms that the lines are indeed parallel.

Therefore, Marco should verify that the lines have the same slope but different y-intercepts, making Statement #1 the correct choice.