Which of the following is an equation of a li | vedclass

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(C) The slope $m$ of a line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$.Substituting the given

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$3x - 2y = -6$

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(C) The slope $m$ of a line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $m = \frac{y_2 - y_1}{x_2 - x_1}$.Substituting the given points $(-2, 0)$ and $(0, 3)$:$m = \frac{3 - 0}{0 - (-2)} = \frac{3}{2}$.The equation of a line in slope-intercept form is $y = mx + c$,where $c$ is the $y$-intercept.Since the line passes through $(0, 3)$,the $y$-intercept $c = 3$.Thus,the equation is $y = \frac{3}{2}x + 3$.Multiplying by $2$,we get $2y = 3x + 6$,which rearranges to $3x - 2y = -6$.

$x$	$0$	$1$	$2$	$3$	$4$
$y$	$2$	$4$	$6$	$8$	$10$

Which of the following is an equation of a line that passes through points $(-2, 0)$ and $(0, 3)$?

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