Question

Draw the graph of linear equation y = -x on the cartesian plane and observe the value of x from the graph when y = -5.
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Answer 1

Given Question :-

• Draw the graph of linear equation y = -x on the cartesian plane and observe the value of x from the graph when y = -5.

Answer

Gɪᴠᴇɴ :

• Linear equation,

• y = - x

• y + x = 0

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

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

$\begin{gathered}:\implies\:\:\bf{y\:=\:0} \end{gathered}$

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

$\begin{gathered}:\implies\:\:\sf{1\:+\:y\:=\:0} \\ \end{gathered}$

$\begin{gathered}:\implies\:\:\bf{y\:=\: - 1} \end{gathered}$

Hᴇɴᴄᴇ,

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

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

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

➢ See the attachment graph.

Now,

• The value of x = 5, when y = - 5 as observed from graph.