SOLUTION: 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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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?
***
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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