What are the \(x\)-intercept and \(y\)-intercept, respectively, of the line \(3x+4y=24\)?

Correct answer: (8, 0) and (0, 6)

To find the \(x\)-intercept, put \(y=0\): \(3x=24\), so \(x=8\) and the point is \((8,0)\). To find the \(y\)-intercept, put \(x=0\): \(4y=24\), so \(y=6\) and the point is \((0,6)\). Therefore, option A is correct; option B gives incorrect values, while C and D misidentify or reverse the intercept points. Exam tip: set \(y=0\) for the x-intercept and \(x=0\) for the y-intercept.