SOLUTION: Find an equation of the line that satisfies the given conditionsThrough points of (−6, −14); perpendicular to the line passing through (−3, −2) and (1, &#8

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Question 756428: Find an equation of the line that satisfies the given conditionsThrough points of (−6, −14); perpendicular to the line passing through (−3, −2) and (1, −4)
Answer by sachi(548)   (Show Source): You can put this solution on YOUR website!
the slope of the line thru (−3, −2) and (1, −4)is m1=[-4-(-2)]/[1-(-3)]=-2/4
=-1/2
so the slope of the required line is m2=-1/m1=2
now the required equation of the line is [y-(-14)]/[x-(-6)]=m2=2
or [y+14]/[x+6]=2
or y+14=2[x+6]
or y-2x+2=0

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