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which of the following is the equation of a line perpendicular to the line y=-1/3x+1 passing through the point 2,7

User Nohwnd
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1 Answer

3 votes

Answer:

y=3x+1

Explanation:

perpendicular lines=their gradient multiply to produce -1 thus:

(line 1) y= -⅓x+1. gradient is. -⅓x

(line 2) gradient = 3

y=mx+c

3=y-7

x-2

multiply both sides by x-2 to remove the denominator.

3(x-2)=y-7

3x-6=y-7

collect the like terms to remain with y in one is side

3x-6+7=y

3x+1=y

y=3x+1

User Praveen Tiwari
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