Question

Is the line through points P(0, 7) and Q(2, 10) parallel to the line through points R(-2, 5) and S(0, 8)? Explain.

Yes, because the have the same slope of 2/3.
Yes because they have the same slope of 3/2.
No because the lines will eventually cross.
No because their slopes are not the same.

Answer 1

Yes because they have the same slope of 3/2

Explanation:

The slope of PQ is ...

(10 -7)/(2 -0) = 3/2

The slope of RS is ...

(8 -5)/(0 -(-2)) = 3/2

The slopes are the same (3/2), so the lines are parallel.