(A) The slope $m$ of the line passing through $(x_1, y_1) = (-1, 1)$ and $(x_2, y_2) = (2, -4)$ is given by:$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-

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(A) The slope $m$ of the line passing through $(x_1, y_1) = (-1, 1)$ and $(x_2, y_2) = (2, -4)$ is given by:$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 - 1}{2 - (-1)} = \frac{-5}{3}$.Using the point-slope form $y - y_1 = m(x - x_1)$ with point $(-1, 1)$:$y - 1 = -\frac{5}{3}(x - (-1))$$3(y - 1) = -5(x + 1)$$3y - 3 = -5x - 5$$5x + 3y + 2 = 0$.

Class 11 Mathematics Pair of straight lines Equation of lines joining the origin to the point of intersection of a curve and a line and Distance between the pair of lines

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Find the equation of the line passing through the points $(-1, 1)$ and $(2, -4)$.

A
$5x + 3y + 2 = 0$
B
$5x + 3y - 2 = 0$
C
$5x + 3y + 1 = 0$
D
$5x + 3y - 1 = 0$

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Pair of straight lines

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Equation of lines joining the origin to the point of intersection of a curve and a line and Distance between the pair of lines

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Find the equation of the line passing through the points $(-1, 1)$ and $(2, -4)$.

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