Question

Question 1
Draw the graph of each of the following linear equations in two variables:
$\left(i\right)x+y=4\left(ii\right)x-y=2\left(iii\right)y=3x\left(iv\right)3=2x+y$

Answer 1

$\left(i\right)x+y=4$
$Putx=0,theny=4$
$Putx=4,theny=0$
$\begin{array}{ccc}x& 0& 4\\ y& 4& 0\end{array}$
The graph of this equation is constructed by joining the points (0,4)and(4,0)as follows:

$\left(ii\right)x-y=2$
$Putx=0,theny=-2$
$Putx=2,theny=0$
$\begin{array}{ccc}x& 0& 2\\ y& -2& 0\end{array}$

$\left(iii\right)y=3x$
$Putx=0,theny=0$
$Putx=1,theny=3$
$\begin{array}{ccc}x& 0& 1\\ y& 0& 3\end{array}$

$\left(iv\right)3=2x+y$
$Putx=0theny=3$
$Putx=1theny=1$
$\begin{array}{ccc}x& 0& 1\\ y& 3& 1\end{array}$