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Find the equation of the line that is perpendicular to the line 3x-y=-4 and contains the point (-2,4)

Answer :

   3x - y = -4
 - 3x       - 3x
-------------------
   y = -3x - 4

Slope: -3 
Opposite Reciprocal Slope: 1/3

Given: (-2,4)

Point Slope Form: y - y₁ = m(x - x₁)
                                y - 4 = 1/3(x + 2)
                                y - 4 = 1/3x + 2/3
                                  + 4               + 4
                            -----------------------------
                                y = 1/3x + 14/3



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