SOLUTION: Find the equation of the line bisecting the acute angles formed between lines X+7y=6 and x-y=4.

Question 946203: Find the equation of the line bisecting the acute angles formed between lines
X+7y=6 and x-y=4.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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To get the angle between the two lines using the slopes use,

So then .
The line makes a 45 degree angle with the x-axis.
So starting from that slope and rotating clockwise by half of 53.13 will get us to the slope of the bisector.

Now find the point of intersection of the two lines,

Then,

Now use the point-slope form of a line,

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