You have the following equation:
[tex]6x+3y=12[/tex]To determine both x and y intercepts, proceed as follow:
x-intercept: makes y = 0 and solve for x in the given equation
[tex]\begin{gathered} 6x+3(0)=12 \\ 6x=12 \\ x=\frac{12}{6}=2 \end{gathered}[/tex]Hence, the xintercept is x = 2
y-intercept: makes x =0 and solve for y:
[tex]\begin{gathered} 6(0)+3y=12 \\ 3y=12 \\ y=\frac{12}{3}=4 \end{gathered}[/tex]Hence, the y-intercept is y = 4
