Question

Mick is trying to determine whether the following two lines are parallel or not. y=23x+7 y=23x−2 Which statement correctly describes the approach Mick should take based on the best reasoning? Statement #1: Mick says he should verify that the lines have the same slopes but different y-intercepts. Statement #2: Mick says he should verify that the lines have the same y-intercepts but different slopes. (1 point) Statement # describes the approach Mick should take based on the best reasoning. Skip to navigation

Answer 1

To determine whether two lines are parallel, you need to compare their slopes and y-intercepts. The key point is that parallel lines have the same slope but different y-intercepts.

For the two given lines:

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

Both lines have the same slope of 23, but different y-intercepts (7 and -2).

Based on this reasoning:

**Statement #1:** Mick says he should verify that the lines have the same slopes but different y-intercepts.

This statement is correct.

**Statement #2:** Mick says he should verify that the lines have the same y-intercepts but different slopes.

This statement is incorrect.

Therefore, **Statement #1** correctly describes the approach Mick should take based on the best reasoning.