fruitmanbiro2tte
fruitmanbiro2tte fruitmanbiro2tte
  • 14-08-2016
  • Mathematics
contestada

the equation of a line is y=-1/2x-2. what is the equation of the line that is perpendicular to the first line and passes through the point (2, –2)?

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apologiabiology
apologiabiology apologiabiology
  • 14-08-2016
perpendicular means that the slopes are negartive inverses, aka
slope1 times slope2=-1

y=mx+b
slope=m

y=-1/2x-2
slope=-1/2

we need to find negative inverse
-1/2 times what=-1
answer is 2

y=2x+b
input the point (2,-2) to find b
(x,y)
(2,-2)
-2=2(2)+b
-2=4+b
minus 4 from both sides
-6=b
y=2x-6

the equtaion is y=2x-6
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