(A) The slope $m$ of the line passing through $(x_1, y_1) = (3, -4)$ and $(x_2, y_2) = (4, 3)$ is given by:$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3

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(A) The slope $m$ of the line passing through $(x_1, y_1) = (3, -4)$ and $(x_2, y_2) = (4, 3)$ is given by:$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - (-4)}{4 - 3} = \frac{7}{1} = 7$Using the point-slope form $y - y_1 = m(x - x_1)$:$y - (-4) = 7(x - 3)$$y + 4 = 7x - 21$$y = 7x - 25$

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

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What is the equation of the line passing through $(3, -4)$ and $(4, 3)$?

A
$y = 7x - 25$
B
$3y = 4x - 20$
C
$x = 4y + 15$
D
$2x = 3y - 10$

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Class 11

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Straight Line

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Slope of line, Equation of line in different forms

Find the value of $x$ for which the points $(x, -1), (2, 1),$ and $(4, 5)$ are collinear.

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The $y$-intercept of a line is twice its $x$-intercept. If the line passes through the point $(1, 2)$,find its equation.

Medium

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Reduce the following equation into intercept form and find its intercepts on the axes: $3x + 2y - 12 = 0$.

Easy

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The line passing through the points $(a, b)$ and $(-a, -b)$ passes through which of the following points?

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What is the equation of the line that makes an angle of $45^{\circ}$ with the $x$-axis and passes through the point $(3, -4)$?

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What is the equation of the line passing through $(3, -4)$ and $(4, 3)$?

Similar Questions

Find the value of $x$ for which the points $(x, -1), (2, 1),$ and $(4, 5)$ are collinear.

The $y$-intercept of a line is twice its $x$-intercept. If the line passes through the point $(1, 2)$,find its equation.

Reduce the following equation into intercept form and find its intercepts on the axes: $3x + 2y - 12 = 0$.

The line passing through the points $(a, b)$ and $(-a, -b)$ passes through which of the following points?

What is the equation of the line that makes an angle of $45^{\circ}$ with the $x$-axis and passes through the point $(3, -4)$?

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