Find the intercepts and graph the equation by plotting points. \( \begin{array}{l}3 x+8 y=24 \\ \text { What are the intercepts? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. } \\ \text { A. The intercept(s) is/are } \\ \text { (Use a comma to separate answers as needed. Type an ordered pair.) } \\ \text { B. There are no intercepts. }\end{array} . \begin{array}{l}\text { (... } \\ \text { B. }\end{array} \) ?

To find the intercepts of the equation \(3x + 8y = 24\), let's start with the x-intercept. Set \(y = 0\): \(3x + 8(0) = 24 \Rightarrow 3x = 24 \Rightarrow x = 8\). So, the x-intercept is \((8, 0)\). Now for the y-intercept, set \(x = 0\): \(3(0) + 8y = 24 \Rightarrow 8y = 24 \Rightarrow y = 3\). Thus, the y-intercept is \((0, 3)\). The intercepts are \((8, 0), (0, 3)\). Now let's sketch it! Plot the points \((8, 0)\) and \((0, 3)\) on a graph and draw a straight line connecting them. Simple as pie! 🍰 A. The intercept(s) is/are \((8, 0), (0, 3)\).