Question #N197
The equation $2x + 3y = 12$ represents a line in the $xy$-plane. Which of the following points lies on this line?
A. (3, 2)
B. (2, 3)
C. (6, 0)
D. (0, 4)
Correct Answer is: C
To determine if a point lies on the line, we can substitute the x and y coordinates of the point into the equation and check if the equation is true. Substituting x = 6 and y = 0 into the equation 2x + 3y = 12, we get 2(6) + 3(0) = 12, which is true. Therefore, the point (6, 0) lies on the line.