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Two Point Form of a Line

A straight li...

Question

A straight line passes through the points A(2, -4) and B(5, -2).
Find the equation of the line AB.

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Solution

Slope of given line $= \frac{- 2 - (- 4)}{5 - 2} = \frac{2}{3}$

Equation $\Rightarrow y - 2 = \frac{2}{3} (x + 4) \Rightarrow 3 y - 6 = 2 x + 8 \Rightarrow 2 x - 3 y + 14 = 0$

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