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Question 915981: house a's coordinate is (-5,10) and house b's coordinate is (-3,6). the property line is located exactly halfway between the two houses. it is also perpendicular to the line segment joining the two houses. please help find the equation of the property line.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! house a's coordinate is (-5,10) and house b's coordinate is (-3,6). the property line is located exactly halfway between the two houses. it is also perpendicular to the line segment joining the two houses. please help find the equation of the property line.
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Mid-point:: x = (-5+-3)/2 = -4 ; y = (10+6)/2 = 8
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Slope of the connecting line:: (10-6)/(-5--3) = 4/-2 = -2
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Slope of the perpendicular line thru (-4,8):: 1/2
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Equation Form::
y = mx + b
8 = (1/2)(-4) + b
8 = -2 + b
b = 10
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Equation:
y = (1/2)x + 10
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cheers,
Stan H.
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