SOLUTION: If the line passing through the points (a,2) and (7,7) is parallel to the line passing through the points (4,8) and (a+3,2) what is the value of a?

Algebra.Com
Question 732309: If the line passing through the points (a,2) and (7,7) is parallel to the line passing through the points (4,8) and (a+3,2) what is the value of a?
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
If the line passing through the points (a,2) and (7,7) is parallel to the line passing through the points (4,8) and (a+3,2) what is the value of a?
***
parallel lines have equal slopes
slope=∆y/∆x
(7-2)/(7-a)=(2-8)/((a+3)-4)
5/(7-a)=-6/(a-1)
-42+6a=5a-5
a=37

RELATED QUESTIONS

If the line passing through the points (1, a) and (4, -2) is parallel to the line passing (answered by ewatrrr)
what is the equation that satisfies this. The line passing through the origin and... (answered by josmiceli)
If the lines passing through the points (1,a) and (4,-2) is parallel to the line passing... (answered by ankor@dixie-net.com)
If the line passing through the points (a, 1) and (15, 6) is parallel to the line... (answered by solver91311,Edwin McCravy)
If the line passing through the points (a, 1) and (−18, 9) is parallel to the... (answered by josgarithmetic)
f the line passing through the points (a, 2) and (6,7) is parallel to the line passing... (answered by lwsshak3,MathLover1)
Find the slope of a line.passing through the points (7, -4)... (answered by Alan3354,solver91311)
If the line passing through the points (a, 1) and (1, 8) is parallel to the line... (answered by josgarithmetic,MathLover1,MathTherapy)
If the line passing through the points (a, 1) and (2, 3) is parallel to the line passing... (answered by ankor@dixie-net.com)
If the line passing through the points (a, 1) and (−10, 9) is parallel to the... (answered by LinnW)