The equation of the line passing through the given pair of points $(- 2, - 5)$ and $(- 4, - 3)$ given in the form $y = m x + c$ is,

y = - x + 7

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y = - x - 7

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y = x + 7

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y = x - 7

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Solution

The correct option is C $y = - x - 7$
The equation of a line passing through two points $(x_{1}, y_{1})$ & $Q (x_{2}, y_{2})$ is $\frac{y - y_{1}}{y_{2} - y_{1}} = \frac{x - x_{1}}{x_{2} - x_{1}}$

The equation of line passing through $(- 2, - 5)$ and $(- 4, - 3)$ is:

$\frac{y + 5}{- 3 + 5} = \frac{x + 2}{- 4 + 2}$

$- 2 (y + 5) = 2 (x + 2)$

$- 2 y - 10 = 2 x + 4$

$- 2 y = 2 x + 14$

$y = - x - 7$

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