I was sort of slightly not paying attention and couldn't see the board whilst my teacher was explaining Perpendicular Bisectors (with fractional midpoints). Here's what I got for a problem, and since we don't have text books I can't check and would thoroughly enjoy some checking to see if I got this right (:
Original Coordinates: (4,2) (3,5)
midpoint = (4+3/2, 2+5/2)
midpoint = (7/2, 7/2)
slope = 5-2/3-4
slope = 3/-1
slope = -3
slope = 1/3 (m of perpendicular bisector, negative reciprocal)
y - (7/2) = 1/3(x - (7/2)) //Slope-Intercept form
3(y - (7/2)) = x - (7/2) //Multiply by 3 and distributive prop.
y - (7/2) = 1/3x - (7/6) //Divide by three. (7/2)/3 = 7/6?
y = 1/3x - (7*3+7/6) // Add 7/2, Make it compatible with a denominator of 6
y = 1/3x - (28/6) // Simplify
Would that be correct?
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