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

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Question

(B) The equation of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the intercept form: $\frac{x}{a} + \frac{y}{b} = 1$,wh

Vedclass · Accepted Answer

$4x+3y=12$

Vedclass · Answer

(B) The equation of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the intercept form: $\frac{x}{a} + \frac{y}{b} = 1$,where $a$ and $b$ are the $x$-intercept and $y$-intercept respectively.Given points are $(3,0)$ and $(0,4)$.Here,the $x$-intercept $a = 3$ and the $y$-intercept $b = 4$.Substituting these values into the intercept form equation:$\frac{x}{3} + \frac{y}{4} = 1$To simplify,multiply the entire equation by the least common multiple of $3$ and $4$,which is $12$:$12 	imes (\frac{x}{3}) + 12 	imes (\frac{y}{4}) = 12 	imes 1$$4x + 3y = 12$Thus,the correct equation is $4x + 3y = 12$.

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

Which of the following is an equation of a line that passes through points $(3,0)$ and $(0,4)$?

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