To find the x-intercept of any equation, substitute y by 0 in it
To find the y-intercept of any equation substitute x by 0 in it
The given equation is
[tex]6x+3y=6[/tex]Substitute y by 0 to find the x-intercept
[tex]\begin{gathered} y=0 \\ \\ 6x+3(0)=6 \\ \\ 6x+0=6 \\ \\ 6x=6 \end{gathered}[/tex]Divide both sides by 6
[tex]\begin{gathered} \frac{6x}{6}=\frac{6}{6} \\ \\ x=1 \end{gathered}[/tex]The x-intercept is (1, 0)
Substitute x by 0 to find the y-intercept
[tex]\begin{gathered} x=0 \\ \\ 6(0)+3y=6 \\ \\ 0+3y=6 \\ \\ 3y=6 \end{gathered}[/tex]Divide both sides by 3
[tex]\begin{gathered} \frac{3y}{3}=\frac{6}{3} \\ \\ y=2 \end{gathered}[/tex]The y-intercept is (0, 2)
x-intercept = (1, 0)
y-interscept = (0, 2)
