Question

draw the graph of each of the following linear equations. _x+y=6​

Answer 1

Graph of linear equation :

• - x + y = 6

$\large\underline{\bold{Solution :- }}$

Gɪᴠᴇɴ :

• Linear equation,

• - x + y = 6

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

$\begin{gathered}:\implies\:\:\sf{0\:+\:y\:=\:6} \\ \end{gathered}$

$\begin{gathered}:\implies\:\:\bf{y\:=\:6} \end{gathered}$

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

$\begin{gathered}:\implies\:\:\sf{ - \: x\:+\:0\:=\:6} \\ \end{gathered}$

$\begin{gathered}:\implies\:\:\bf{x\:= \: - \:6} \end{gathered}$

Hᴇɴᴄᴇ,

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

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

➢ Now draw a graph using the points (0 , 6) & (- 6 , 0)

➢ See the attachment graph.