In order to find the x-intercept, we just need to find the value of x where y = 0, and for y-intercept, we need to find the value of y where x = 0. So we have:
x-intercept:
[tex]\begin{gathered} y=0\colon \\ 6x-2\cdot0=12 \\ 6x=12 \\ x=2 \end{gathered}[/tex]y-intercept:
[tex]\begin{gathered} 6\cdot0-2y=12 \\ -2y=12 \\ y=-6 \end{gathered}[/tex]So the coordinates of the x-intercept are (2, 0) and the coordinates of the y-intercept are (0, -6).
