SOLUTION: find an equation of the line through the givven point and perpendicular to the given line y=1/2x+3 and (-4,2)

Question 705650: find an equation of the line through the givven point and perpendicular to the given line y=1/2x+3 and (-4,2)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find an equation of the line through the givven point and perpendicular to the given line y=1/2x+3 and (-4,2)
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Equation of a line: y=mx+b, m=slope, b=y-intercept
For given equation: y=1/2x+3
m=1/2
slope of perpendicular line=-2(negative reciprocal)
equation:
y=-2x+b
solve for b using coordinates of given point (-4,2)
2=-2*-4+b
b=-6
Equation of perpendicular line:
y=-2x-6

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