Question

Which of the given points lie on the line x - y = 5?

• A. (7,2)
• B. (4,-1)
• C. (3,-2)
• D. All of the above

Answer 1

The correct option is D

All of the above

A point lies on a line if its coordinates satisfy the equation of the line.

1) Substituting x = 7 and y = 2 in the equation x - y = 5 we get, LHS = 7 - 2 = 5 = RHS
Thus, (7, 2) lies on the line x - y = 5.

2) Substituting x = 4 and y = -1 in the equation x - y = 5 we get, LHS = 4 - (-1) = 4 + 1 = 5 = RHS
Thus, (4, -1) lies on the line x - y = 5.

3) Substituting x = 3 and y = -2 in the equation x - y = 5 we get, LHS = 3 - (-2) = 3 + 2 = 5 = RHS
​​​​​​​Thus, (3, -2) lies on the line x - y = 5.