Answer
x-intercept: $(2, 0)$
y-intercept: $(0, 6)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$6x+2y=12
\\6x+2(0)=12
\\6x+0=12
\\6x=12
\\\frac{6x}{6}=\frac{12}{6}
\\x=2$
Thus, the x-intercept is $(2, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$6x+2y=12
\\6(0)+2y=12
\\0+2y=12
\\2y=12
\\\frac{2y}{2}=\frac{12}{2}
\\y=6$
Thus, the y-intercept is $(0, 6)$.
Plot the intercepts on the same coordinate plane, then connect the two points using a line. Refer to the attached image in the answer part above for the graph.
