SOLUTION: the angle from the line through (x,-1) and (-3,-5) to the line through (2,-5) and (4,1) is 45. find x

SOLUTION: the angle from the line through (x,-1) and (-3,-5) to the line through (2,-5) and (4,1) is 45. find x

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Question 1033779: the angle from the line through (x,-1) and (-3,-5) to the line through (2,-5) and (4,1) is 45. find x
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The line through the points (4,1) and (2,-5) has a slope , while the line through the points (-3,-5) and (x,-1) has slope .
Let be the positive, acute angle between the two lines.
==>
==> , after simplification.
==> x+15 = 3x+5 ==> 10 = 2x ==> .
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