SOLUTION: Find the equation of the perpendicular line to each of the following that passes through the point indicated. y=2/3x+8 passing through the point (-1/2,3)

Question 625474: Find the equation of the perpendicular line to each of the following that passes through the point indicated. y=2/3x+8 passing through the point (-1/2,3)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the equation of the perpendicular line to each of the following that passes through the point indicated. y=2x/3+8 passing through the point (-1/2,3).
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Equation for straight line: y=mx+b, m=slope, b=y-intercept
y=2x/3+8
m=2/3
..
slope of perpendicular line=-3/2 (negative reciprocal)
equation:y=-3x/2+b
solve for b using coordinates of given point, (-1/2,3)
3=-3*(-1/2)/2+b
b=3-3/4=9/4
equation of perpendicular line: y=-3x/2+9/4

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