Question

Draw the graph of linear equation 2x+3y=12

Answer 1

$Here,\\ 2x+3y=12$

$\therefore 2x=12-3y$

$\therefore x=\frac{12-3y}{2}$

$Now,\\ Let, y=2 \\</p><p>\therefore x= \frac{12-3(2)}{2}$

$\therefore x=\frac{12-6}{2} \\ \therefore x=\frac{6}{2} \\ \therefore x= 3$

$Now, \\ Let,x=0 \\ </p><p>\therefore 2(0)-3y=12 \\ </p><p>\therefore 3y=12 \\ </p><p>\therefore y=4$

$Now,\\</p><p>Let,y=0, \\ </p><p>\therefore 2x-3(0)=12 \\ </p><p>\therefore 2x=12 \\ </p><p>\therefore x=6$

$So, the \: line \: will \: pass \: through \: (0,4) , (3,2),(6,0).$