Posted by **Stephanie** on Wednesday, February 6, 2013 at 1:52am.

If the line passing through the points (a, 1) and (5, 7) is parallel to the line passing through the points (8, 8) and (a + 2, 1), what is the value of a?

a = ?

- Math -
**Steve**, Wednesday, February 6, 2013 at 12:41pm
slope of 1st line is (7-1)/(5-a) = 6/(5-a)

slope of 2nd line is (1-8)/(a+2-8) = -7/(a-6)

If the lines are parallel, the slopes are equal, so

6/(5-a) = -7/(a-6)

6(a-6) = -7(5-a)

6a-36 = 7a-35

-a = 1

a = -1

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