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

x-intercept: $(0, 0)$ y-intercept: $(0, 0)$ Refer to the graph below.
To find the x-intercept, set y=0, then solve for $x$: $y-3x=0 \\0-3x=0 \\-3x=0 \\\frac{-3x}{-3}=\frac{0}{-3} \\x=0$ Thus, the x-intercept is $(0, 0)$. To find the y-intercept, set x=0, then solve for $y$: $y-3x=0 \\y-3(0)=0 \\y=0$ Thus, the y-intercept is $(0, 0)$. Since the x and y-intercepts are the same, one more point is needed to graph the line. Let $x=1$ then solve for $y$: $y-3x=0 \\y-3(1)=0 \\y-3=0 \\y=3$ The point is $(1, 3)$. Plot the intercept $(0, 0)$ and the point $(1, 3)$ 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.