Question

draw the graph x+2y=6

Answer 1

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

Given linear equation is

$\red{\rm :\longmapsto\:x + 2y = 6}$

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

$\blue{\rm :\longmapsto\:0 + 2y = 6}$

$\blue{\rm :\longmapsto\: 2y = 6}$

$\blue{\bf :\longmapsto\: y = 3}$

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

$\green{\rm :\longmapsto\:x + 2(0) = 6}$

$\green{\rm :\longmapsto\:x +0 = 6}$

$\green{\bf :\longmapsto\:x = 6}$

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

$\purple{\rm :\longmapsto\:x + 2(1) = 6}$

$\purple{\rm :\longmapsto\:x + 2= 6}$

$\purple{\rm :\longmapsto\:x = 6 - 2}$

$\purple{\bf :\longmapsto\:x = 4}$

Hᴇɴᴄᴇ,

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

$\pink{\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 3 \\ \\ \sf 6 & \sf 0\\ \\ \sf 4 & \sf 1 \end{array}} \\ \end{gathered}}$

➢ Now draw a graph using the points (0 , 3), (4 , 1) & (6 , 0)

➢ See the attachment graph.