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

$\begin{array}{1 1}(A)\;a=-4 , b = -6 \\(B)\; a =4 , b = -6 \\(C)\; a = -4 , b = 6 \\(D)\;a = 4 ,b = 6 \end{array}$

Toolbox:
• The intercept form of equation is $\large\frac{x}{a}$$+\large\frac{y}{b}$$=1$.
Given equation is $3x+2y-12=0$
This can be written as
$\qquad 3x+2y=12$
dividing throughout by 12 we get,
$\qquad \large\frac{3x}{12}$$+\large\frac{2y}{12}$$=1$.
$\quad \Rightarrow \large\frac{x}{4}$$+\large\frac{y}{6}$$=1.$
This is of the form $\large\frac{x}{a}$$+ \large\frac{y}{b}$$=1.$
Here $a=4$ and $b=6$
Hence the intercepts on the $x$ and $y$ axes are 4 and 6 respectively.