The x and y intercept of the given equation is required.
The x intercept is [tex]\left(\dfrac{2}{3},0\right)[/tex]
The y intercept is [tex]\left(0,-\dfrac{1}{3}\right)[/tex].
The given equation is
[tex]3x-6y=2[/tex]
The x intercept is the point where [tex]y=0[/tex]
[tex]3x-6\times 0=2\\\Rightarrow x=\dfrac{2}{3}[/tex]
[tex]\left(\dfrac{2}{3},0\right)[/tex]
The y intercept is the point where [tex]x=0[/tex]
[tex]3\times 0-6y=2\\\Rightarrow y=\dfrac{-2}{6}=-\dfrac{1}{3}[/tex]
[tex]\left(0,-\dfrac{1}{3}\right)[/tex]
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