Question

(iv) x+2y=6 draw a graph​

Answer 1

EXPLANATION.

Graph of the equation,

⇒ x + 2y = 6.

As we know that,

Put the value of x = 0 in equation, we get.

⇒ 0 + 2y = 6.

⇒ 2y = 6.

⇒ y = 6/2.

⇒ y = 3.

Their Co-ordinates = (0,3).

Put the value of y = 0 in equation, we get.

⇒ x + 2(0) = 6.

⇒ x = 6.

Their Co-ordinates = (6,0).

Answer 2

Given Question :-

• Draw the graph of x + 2y = 6

Solution:-

Given equation of line is

$\boxed {\green{\rm : \implies \: x \: + \: 2y \: = \: 6 }}$

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

$\begin{gathered}:\implies\:\:\sf{{0}\:+2\:y\:=\:6} \\ \end{gathered}$

$\begin{gathered}:\implies\:\:\sf{2\:y\:=\:6} \\ \end{gathered}$

$\begin{gathered}:\implies\:\:\sf{\:y\:=\:3} \\ \end{gathered}$

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

$\begin{gathered}:\implies\:\:\sf{2\times{1}\:+\:x\:=\:6} \\ \end{gathered}$

$\begin{gathered}:\implies\:\:\sf{2\:+\:x\:=\:6} \\ \end{gathered}$

$\begin{gathered}:\implies\:\:\sf{\:x\:=\:4} \\ \end{gathered}$

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

$\begin{gathered}:\implies\:\:\sf{2\times{0}\:+\:x\:=\:6} \\ \end{gathered}$

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

Hᴇɴᴄᴇ,

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

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

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

➢ See the attachment graph.