SOLUTION: find the value of x so that the line joining the points (x,3) and (2,1) is parallel to the line joining (x,5) and (-1,2).

Question 607221: find the value of x so that the line joining the points (x,3) and (2,1) is parallel to the line joining (x,5) and (-1,2).
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
find the value of x so that the line joining the points (x,3) and (2,1) is parallel to the line joining (x,5) and (-1,2).
:
The slope formula: m =
parallel lines have equal slopes therefore we can write an equation;
Slope 1 = slope 1
=
:
=
Cross multiply
-2(-1-x) = -3(2-x)
2 + 2x = -6 + 3x
2 + 6 = 3x = 2x
8 = x
:
:
Check this by finding the slopes when x=8
=
=
= ; both reduce to 1/3

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