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

x-intercept: $(5, 0)$ y-intercept: $(0, 3)$ Refer to the graph below.
To find the x-intercept, set y=0, then solve for $x$: $3x+5y=15 \\3x+5(0)=15 \\3x=15 \\\frac{3x}{3}=\frac{15}{3} \\x=5$ Thus, the x-intercept is $(5, 0)$. To find the y-intercept, set x=0, then solve for $y$: $3x+5y=15 \\3(0)+5y=15 \\5y=15 \\\frac{5y}{5}=\frac{15}{5} \\y=3$ Thus, the y-intercept is $(0, 3)$. 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.