(B) The slope $m$ of the line passing through points $(x_1, y_1) = (-5, -6)$ and $(x_2, y_2) = (3, 10)$ is given by:$m = \frac{y_2 - y_1}{x_2 - x_1} =

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(B) The slope $m$ of the line passing through points $(x_1, y_1) = (-5, -6)$ and $(x_2, y_2) = (3, 10)$ is given by:$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - (-6)}{3 - (-5)} = \frac{16}{8} = 2$.Using the point-slope form $(y - y_1) = m(x - x_1)$ with point $(-5, -6)$:$y - (-6) = 2(x - (-5))$$y + 6 = 2(x + 5)$$y + 6 = 2x + 10$$2x - y + 4 = 0$.Thus,the correct option is $B$.

Class 11 Mathematics Straight Line Slope of line, Equation of line in different forms

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The equation of a straight line passing through the points $(-5, -6)$ and $(3, 10)$ is:

A
$x - 2y = 4$
B
$2x - y + 4 = 0$
C
$2x + y = 4$
D
None of these

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Slope of line, Equation of line in different forms

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The equation of a straight line passing through the points $(-5, -6)$ and $(3, 10)$ is:

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