Question

Draw graphs of the equations given below 3x-y=0​

Answer 1

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

Given linear equation is

$\rm :\longmapsto\:3x - y = 0$

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

$\rm :\longmapsto\:3(0) - y = 0$

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

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

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

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

$\rm :\longmapsto\:3(1) - y = 0$

$\rm :\longmapsto\:3 - y = 0$

$\rm :\longmapsto\: - y = - 3$

$\rm :\longmapsto\: y = 3$

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

$\rm :\longmapsto\:3(2) - y = 0$

$\rm :\longmapsto\:6 - y = 0$

$\rm :\longmapsto\: - y = - 6$

$\rm :\longmapsto\: y = 6$

Hᴇɴᴄᴇ,

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

$\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 0 \\ \\ \sf 1 & \sf 3 \\ \\ \sf 2 & \sf 6 \end{array}} \\ \end{gathered}$

➢ Now draw a graph using the points (0 , 0), (1 , 3) & (2 , 6)

➢ See the attachment graph.