Question #N538
The equation $2x+3y=12$ represents a line in the $xy$-plane. Which of the following points lies on this line?
A. (0, 4)
B. (3, 2)
C. (4, 0)
D. (6, -2)
Correct Answer is: B
To determine if a point lies on a line, we can substitute the coordinates of the point into the equation of the line and see if the equation holds true. Substituting the coordinates of choice B, (3, 2), into the equation 2x + 3y = 12, we get 2(3) + 3(2) = 12, which simplifies to 6 + 6 = 12. Since this equation is true, the point (3, 2) lies on the line 2x + 3y = 12.