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

Marco should follow Statement #1.

To determine whether two lines are parallel, you need to check if they have the same slope. If two lines have the same slope but different y-intercepts, they are parallel.

In your equations:
- For the line \( y = 23x + 7 \), the slope is 23.
- For the line \( y = 23x - 5 \), the slope is also 23.

Since both lines have the same slope (23) but different y-intercepts (7 and -5), they are indeed parallel.

So, **Statement #1** is the correct approach.