Question 954266: f the line passing through the points (a, 2) and (6,7) is parallel to the line passing through the points (4, 8) and (a +3, 2) , what is the value of a?
Found 2 solutions by lwsshak3, MathLover1:
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! f the line passing through the points (a, 2) and (6,7) is parallel to the line passing through the points (4, 8) and (a +3, 2) , what is the value of a?
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parallel lines have the same slope
slope=∆y/∆x
(7-2)(6-a)=(8-2)/(4-a+3)
5/(6-a)=6/(7-a)
35-5a=36-6a
a=1
Answer by MathLover1(20850)  (Show Source):
You can put this solution on YOUR website! f the line passing through the points (a, 2) and (6,7)
 if (6,7), then
 ....eq.1
if (a,2), then
....eq.2
subtract eq.2 from eq 1
 ....eq.1a
 ...........eq.a
the line that is parallel to the line passing through the points (4, 8) and (a +3, 2) ,
parallel lines have same slope
if (4,8), then
 .......(3)
and (a +3, 2)
 ....(4)
subtract eq.4 from eq 3
 .................eq.a1
from ...........eq.a and .................eq.a1 we have:
 ................solve for 
then => => =>
now we need to find 
the points (a, 2) and (6,7) are (31, 2) and (6,7)
parallel line  : the points (4, 8) and (a +3, 2) are (4, 8) and (34, 2)
so, your lines are:
 and parallel line 
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