Question

Draw the graph of y = x show that point (3, 4) does not lie on it. ​

Answer 1

$\large\underline{\sf{Solution-}}$

Given equation of line is

$\rm :\longmapsto\:y = x$

Substituting 'x = 0' in the given equation, we get

$\rm :\longmapsto\:y = 0$

Substituting 'x = 1' in the given equation, we get

$\rm :\longmapsto\:y = 1$

Substituting 'x = 2' in the given equation, we get

$\rm :\longmapsto\:y = 2$

Hᴇɴᴄᴇ,

➢ Pair of points of the given equation are shown in the below table.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 0 \\ \\ \sf 1 & \sf 1\\ \\ \sf 2 & \sf 2 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points (0 , 0), (1 , 1) & (2 , 2)

➢ See the attachment graph.

So, From graph we concluded that point (3, 4) don't lie on the line y = x.