SOLUTION: A(7,-2) and c (-1,-6) are the vertics of square abcd. Find the equations of diagonal ac and bd ?

Question 987573: A(7,-2) and c (-1,-6) are the vertics of square abcd. Find the equations of diagonal ac and bd ?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
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Find the slope of AC:
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==
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Using slope-intercept form:
y=mx+b
y=0.5x+b Put in values from one of the points and solve for b.
-2=(0.5)7+b
-2=3.5+b
-5.5=b Put this value in for b.
y=0.5x-5.5 This is the equation for diagonal AC.
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The diagonal BD will have the negative reciprocal of the slope of diagonal AC for its slope, and will pass through the midpoint of segment AC.
Slope: m=-2
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Midpoint=(,)
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Midpoint=(,
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Midpoint=(,)=(,)
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Using slope-intercept form:
y=mx+b
y=-2x+b Put in midpoint values and solve for b.
-4=(-2)(3)+b
-4=-6+b
2=b
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y=-2x+2 This is the equation of diagonal BD

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