draw the graph of equation 3x+y=6.also find the points when the line intersect x axis and y axis

Dear Student,

Please find below the solution to the asked query :

$$\begin{gathered} \mathrm{The} \mathrm{given} \mathrm{equation} \mathrm{is}, \\ 3x + y = 6 \\ \Rightarrow y = 6 - 3x \\ \mathrm{When} x = 0; y = 6 \\ \mathrm{When} x = 1; y = 3 \\ \mathrm{When} x = 2, y = 0 \end{gathered}$$

In tabular form, 
 

x	0	1	2
y	6	3	0

Now, we will plot the above points on the Cartesian plane.

GRAPH :




$$\begin{gathered} \mathrm{From} \mathrm{the} \mathrm{graph}, \mathrm{we} \mathrm{see} \mathrm{that}, \mathrm{straight} \mathrm{line} 3x + y = 6, \mathrm{intersects} \\ x-\mathrm{axis} \mathrm{at} \left(2,0\right) \mathrm{and} y-\mathrm{axis} \mathrm{at} \left(0,6\right). \end{gathered}$$

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