Question

Which of the following points do not lie on the line 3x - y = 6?

• A. (2,0)
• B. (3,3)
• C. (0,6)
• D. (0,-6)

Answer 1

The correct option is C

(0,6)

A point lies on a line if its coordinates satisfy the equation of the line.
The equation of the line is 3x - y = 6

To check if (2,0) lies on the line substitute x = 2, y = 0 in its equation.
LHS = 3(2) - 0 = 6 = RHS
Therefore, (2,0) lies on the line 3x - y = 6

To check if (3,3) lies on the line substitute x = 3, y = 3 in its equation.
LHS = 3(3) - 3 = 9 - 3 = 6 = RHS
Therefore, (3,3) lies on the line 3x - y = 6

To check if (0,6) lies on the line substitute x = 0, y = 6 in its equation.
LHS = 3(0) - 6 = -6 $\ne$ RHS
Therefore, (0,6) does not lies on the line 3x - y = 6

To check if (0, -6) lies on the line substitute x = 0, y = -6 in its equation.
LHS = 3(0) - (-6) = 6 = RHS
Therefore, (0,-6) lies on the line 3x - y = 6