Answer
x-intercept: $(7, 0)$
y-intercept: $(0, 2)$
Work Step by Step
To find the x-intercept, set $y=0$ then solve for $x$:
$2x+7y=14
\\2x+7(0)=14
\\2x=14
\\\frac{2x}{2}=\frac{14}{2}
\\x=7$
Thus, the x-intercept of the graph of the given equation is $(7, 0)$.
To find the y-intercept, set $x=0$ then solve for $y$:
$2x+7y=14
\\2(0)+7y=14
\\7y=14
\\\frac{7y}{7}=\frac{14}{7}
\\y=2$
Thus, the y-intercept of the graph of the given equation is $(0, 2)$.
