\( \begin{array}{l} \text { Use the intercepts to graph the equation. }\\ 6 x-3 y=18 \end{array} \)

To graph the equation \(6x - 3y = 18\), start by finding the x-intercept and y-intercept. For the x-intercept, set \(y = 0\) in the equation: \(6x = 18\), which gives \(x = 3\). So, the x-intercept is \((3, 0)\). For the y-intercept, set \(x = 0\): \(-3y = 18\), resulting in \(y = -6\). Thus, the y-intercept is \((0, -6)\). Plot these points on a graph and draw a line through them to illustrate the equation. Using intercepts is not only a clear method but also a great way to avoid common graphing mistakes! Ensure that when you plot the points, you check your scale and labeling. A common blunder is to misplace the y-intercept; remember, it’s where the line crosses the y-axis, typically at \(y\) values that can be negative or positive depending on the equation's coefficients. Happy graphing!