# Can two lines have the same slope?

## Can two lines have the same slope?

If two lines are cut by a transversal so the corresponding angles are congruent, then the lines are parallel. If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel.

How do you make sure two lines are parallel?

If two lines are cut by a transversal and the alternate exterior angles are equal, then the two lines are parallel. Angles can be equal or congruent; you can replace the word “equal” in both theorems with “congruent” without affecting the theorem. So if ∠B and ∠L are equal (or congruent), the lines are parallel.

Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.

Explanation: Two lines are parallel if and only if they have the same slope. The slope of one of the lines is 0.333. The other line has slope , which is equal to ; this is not equal to 0.333.

Can lines have the same slope and not be parallel?

Parallel lines have the same slope and will never intersect. On the other hand, the slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees.

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