Question

The graph given below represents the linear equation$ \mathrm{x} + \mathrm{y} = 0$. Write whether the following statement is True or False? Justify your answer.

Answer 1

Satisfy given points in the given equation

Given equation is, $\mathrm{x}+\mathrm{y}=0$

Co-ordinates from the graphs are $(-3,3)$ and $(-1,1)$

Let $\mathrm{y}=3$

$\begin{array}{rcl}\mathrm{x}+\mathrm{y}& =& 0\\ \mathrm{x}+3& =& 0\\ & \Rightarrow & \mathrm{x}=-3\end{array}$

and

when $\mathrm{y}=1$

$\begin{array}{rcl}\mathrm{x}+\mathrm{y}& =& 0\\ \mathrm{x}+1& =& 0\\ & \Rightarrow & \mathrm{x}=-1\end{array}$

$\because$co-ordinates are given in the graph $(-3,3)$ and $(-1,1)$ satisfy the equation $\mathrm{x}+\mathrm{y}=0$

Hence, the given graph represents the linear equation $\mathrm{x}+\mathrm{y}=0$.