Find the equation of the line passing through $(7, 8)$ & $(5, - 2)$ is-

5 x + y = 27

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5 x - y = 27

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5 x - y = - 27

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5 x + y = - 27

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Solution

The correct option is B $5 x - y = 27$
Formula,

$\frac{y - y_{1}}{y_{2} - y_{1}} = (\frac{x - x_{1}}{x_{2} - x_{1}})$

From given, we have,

$(7, 8), (5, - 2)$

$\frac{y - 8}{- 2 - 8} = (\frac{x - 7}{5 - 7})$

$\frac{y - 8}{- 10} = (\frac{x - 7}{- 2})$

$y - 8 = 5 x - 35$

$5 x - y = 27$

Suggest Corrections

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\frac{- 2}{7}

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