SOLUTION: Determine whether the pair of lines y = 2x + 1 and x - y = 5 are parallel or intersect. If the lines intersect, find the point of intersection.

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Question 1022100: Determine whether the pair of lines y = 2x + 1 and x - y = 5 are parallel or intersect. If the lines intersect, find the point of intersection.
Found 2 solutions by fractalier, Fombitz:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Well, we can rewrite the second one to be
y = x - 5 and we can see it is not parallel to
y = 2x + 1
We can set them equal to each other (since they are both equal to y)...
x - 5 = 2x + 1
-x = 6
x = -6
and then
y = -6 - 5 = -11
The point of intersection is
(-6, -11)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel lines have the same slope.
y=2x%2B1
m%5B1%5D=2
y=x-5
m%5B2%5D=1
The slopes are not identical.
2x%2B1=x-5
x=-6
Then,
y=-6-5
y=-11
(-6,-11)
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Graphical verification
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