Question

draw the graph of linear equations: x + y =4

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Answer 1

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

Given linear equation is

$\rm :\longmapsto\:x + y = 4$

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

$\purple{\rm :\longmapsto\:0 + y = 4}$

$\purple{\rm :\longmapsto\:y = 4}$

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

$\green{\rm :\longmapsto\:2 + y = 4}$

$\green{\rm :\longmapsto\: y = 4 - 2}$

$\green{\rm :\longmapsto\: y =2}$

Substituting 'x = 4' in the given equation, we get

$\blue{\rm :\longmapsto\:4 + y = 4}$

$\blue{\rm :\longmapsto\:y = 4 - 4}$

$\blue{\rm :\longmapsto\:y = 0}$

Hᴇɴᴄᴇ,

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

$\red{\begin{gathered}\boxed{\begin{array}{c|c} \bf x & \bf y \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 0 & \sf 4 \\ \\ \sf 2 & \sf 2 \\ \\ \sf 4 & \sf 0 \end{array}} \\ \end{gathered}}$

➢ Now draw a graph using the points (0 , 4), (2 , 2) & (4 , 0)

➢ See the attachment graph.