Question

From the choices given below, choose the equation whose graphs are given in Fig. $4.6$ and Fig. $4.7$.

$ForFig.4.6$ $ForFig.4.7$
$\left(i\right)y=x$ $\left(i\right)y=-x+2$
$\left(ii\right)x+y=0$ $\left(ii\right)y=x-2$

Answer 1

In fig. 4.6,
Points are $(0,0),(-1,1)and(1,-1).$
$\therefore$ Equation (ii) $x+y=0$ is correct as it satisfies all the points.

In fig. 4.7,
Points are $(-1,3),(0,2)and(2,0)$.
$\therefore$ Equation (i) $y=-x+2$ is correct as it satisfies all the points.