The y-intercept ocurrs at x=0. Then, by substituting x=0 in our equation, we get
[tex]0+2y=6[/tex]
which gives
[tex]\begin{gathered} 2y=6 \\ y=\frac{6}{2} \\ y=3 \end{gathered}[/tex]
then, the y-intercept point is (0,3).
Similarly, the x-intercept ocurrs at y=0. By substituting y=0 in our equation, we have
[tex]x+2(0)=6[/tex]
which gives
[tex]x=6[/tex]
so, the x-intercept point is (6,0).
Now, let's make the graph
