The equation of a line is given below. \[ 6 x+3 y=-18 \] Find the \( x \)-intercept and the \( y \)-intercept. Then use them to graph the line.

**Step 1: Find the \( x \)-intercept** To find the \( x \)-intercept, set \( y = 0 \) in the equation: \[ 6x + 3(0) = -18 \quad \Rightarrow \quad 6x = -18. \] Solving for \( x \): \[ x = \frac{-18}{6} = -3. \] Thus, the \( x \)-intercept is \((-3, 0)\). **Step 2: Find the \( y \)-intercept** To find the \( y \)-intercept, set \( x = 0 \) in the equation: \[ 6(0) + 3y = -18 \quad \Rightarrow \quad 3y = -18. \] Solving for \( y \): \[ y = \frac{-18}{3} = -6. \] Thus, the \( y \)-intercept is \((0, -6)\). **Step 3: Graph the Line** 1. **Plot the intercepts:** - Plot the \( x \)-intercept at \((-3, 0)\). - Plot the \( y \)-intercept at \((0, -6)\). 2. **Draw the line:** - Draw a straight line through the points \((-3, 0)\) and \((0, -6)\). This line is the graph of the equation \(6x + 3y = -18\). The graph will show a line crossing the \( x \)-axis at \((-3, 0)\) and the \( y \)-axis at \((0, -6)\).