Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

x-intercept: $(7, 0)$ y-intercept: $(0, 2)$
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 $(0, 2)$.