Answer
Refer to the graph below.
Work Step by Step
The given equation can be graphed using its intercepts.
Find the x-intercept by setting $y=0$ then solving for $x$:
$3x+7y=14
\\3x+7(0)=14
\\3x=14
\\\frac{3x}{3}=\frac{14}{3}
\\x=\frac{14}{3}$
The x-intercept is $(\frac{14}{3}, 0)$.
Find the y-intercept by setting $x=0$ then solving for $y$:
$3x+7y=14
\\3(0)+7y=14
\\7y=14
\\\frac{7y}{7}=\frac{14}{7}
\\y=2$
The y-intercept is $(0, 2)$.
Plot the x and y-intercepts then connect them using a straight line.
(Refer to the graph in the answer part above.)