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

## Answer this Question

## Related Questions

- adult education - Math If the line passing through the points (1,a) and (4,-2)is...
- Calculus - Determine the equation of the line described by the given information...
- math - If the line passing through the points (a, 1) and (5, 7) is parallel to ...
- College - If the line passing through point (a,1) and (8,7) is parallel to the ...
- Applied Calculus - If the line passing through the points (a, 1) and (−8, ...
- maths - Determine the acute angle between the line passing through the points A...
- math - i have more than one question so if u no any of the answers please tell ...
- Pre- Algebra - Given an equation of a line, how do I find equations for lines ...
- Algebra - I'm suppose to write an equation with the following information: Line ...
- Math - If line f is parallel to the line h, and line f has y-intercept 5, what ...