Question

The line 2x+3y=12 passes through _____ points​

Answer 1

Answer:

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Answer 2

Answer:

$\small\texttt\purple{Given line equation is 2x+3y-12=0}$

$On \ putting \ y=0, \ we \ will \ get \ the \ intercept \ made \ on \ x - axis \\2x+3y-12=0\\==> \ 2x+3(0)-12=0 \\ ==> \ 2x-12=0 \\ ==> \ 2x=12 \\ x=6$

$Now, \ on \ putting \ x=0, \ we \ get \ the \ intercepts \ made \ on \ y - axis \\ 2x+3y-12=0 \\ 2(0)+3y-12=0 \\ 3y=12 \\ y= 4$

$\small\texttt\pink{Hence, the x - intercept and y - intercept of the given line is 6 and 4 respectively.}$

$\small\mathsf\orange{so \: the \: line \: 2x+3y=12 \: passes \: through \: points \: (6,4)}$