Question
Draw the graph for the equation, given below : $3x + 2y = 6$
✓
Answer
$3 x+2 y=6$
$\Rightarrow 2 y=6-3 x$
$\therefore y=\frac{6-3 x}{2}$
When $ x=0 ;$
$y=\frac{6-3 \times 0}{2}$
$=\frac{6-0}{2}$
$=3$
When $x =2$;
$y=\frac{6-3 \times 2}{2}$
$=\frac{6-6^2}{2}$
$=0$
When $ x=4 ;$
$y=\frac{6-3 \times 4}{2}$
$=\frac{6-12}{2}$
$=-3$
Plotting these points we get the required graph as shown below :
$\Rightarrow 2 y=6-3 x$
$\therefore y=\frac{6-3 x}{2}$
When $ x=0 ;$
$y=\frac{6-3 \times 0}{2}$
$=\frac{6-0}{2}$
$=3$
When $x =2$;
$y=\frac{6-3 \times 2}{2}$
$=\frac{6-6^2}{2}$
$=0$
When $ x=4 ;$
$y=\frac{6-3 \times 4}{2}$
$=\frac{6-12}{2}$
$=-3$
| $X$ | $0$ | $2$ | $4$ |
| $Y$ | $3$ | $0$ | $- 3$ |
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