Which point does not lie on the line 3x + 8y = 24?

Correct answer: (4, 2)

The answer is D, (4, 2). To test whether a point lies on a line, substitute its x- and y-coordinates into the equation. If the left side becomes exactly 24, the point lies on the line; if it gives another value, the point does not lie on it. For A, 3(8)+8(0)=24+0=24, so (8,0) lies on the line. For B, 3(0)+8(3)=0+24=24, so (0,3) also lies on it. For C, 3(8/3)+8(2)=8+16=24, so this point is also valid. For D, 3(4)+8(2)=12+16=28, not 24. Therefore D is the only point that does not lie on the line. A useful check is to remember that a point is verified by substitution, not by looking at its coordinates separately.