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

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19-10-2017
Mathematics

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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)

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LAGRHA15 LAGRHA15 · Answer 1 · 2017-10-19T03:47:38+02:00

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