Answer
x-intercept: $(\frac{8}{3}, 0)$
y-intercept: $(0, 4)$
Refer to the graph below.
Work Step by Step
To find the x-intercept, set y=0, then solve for $x$:
$3x+2y=8
\\3x+2(0)=8
\\3x+0=8
\\3x=8
\\\frac{3x}{3}=\frac{8}{3}
\\x=\frac{8}{3}\approx 2.67$
Thus, the x-intercept is $(\frac{8}{3}, 0)$.
To find the y-intercept, set x=0, then solve for $y$:
$3x+2y=8
\\3(0)+2y=8
\\0+2y=8
\\2y=8
\\\frac{2y}{2}=\frac{8}{2}
\\y=4$
Thus, the y-intercept is $(0, 4)$.
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.
