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Question 829839: the angle from the line through (-1,10) and (4,-7)to the line through (4,2) and (-1,-9) is 135.find y
Answer by josgarithmetic(39617)   (Show Source):
You can put this solution on YOUR website! Find y for what? The intersection of the defined line? The angle is not needed for that.
First line, slope (-7-10)/(4-(-1))=-17/5
b=y-mx
b=-7-(-17/5)4=-7+68/5=6.6
y=-(17/5)x-3.6
Solve for x
5y=-17x-18
5y+18=-17x
x=-(5y+18)/17
Second line, slope (-9-2)/(-1-4)=11/5
b=y-mx
b=2-(11/5)4=2-44/5=-6.8
y=(11/5)x-6.8
Solve for x
y+6.8=(11/5)x
x=(5/11)(y+6.8)
The x expressions must equal at the intersection.
-(5y+18)/17=5(y+6.8)/11
-11(5y+18)=15*5(y+6.8)
-55y-18*11=5*15y+5*15*6.8
-55y-5*15y=15*5*6.8+18*11
y(55+5*15)=-(5*15*6.8+18*11)
130y=-708
y=-(708)/130
y=-5.446
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