Question

Match the points with equation of line passing through it.

• A. 3x - 2y = 0
• B. x - 3 = 0
• C. x + y =4
• D. 3x + 2y = 0

Answer 1

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

x-coordinate of the point = 2 and
y-coordinate of the point = 3


To check 3x + 2y = 0, substitute the values of x and y in the equation.
3(2) + 2(3) = 12 $\ne 0$ $\to$ (2, 3) does not lies on the line 2x + 3y =5

To check x + y = 4, substitute the values of x and y in the equation.
2 + 3 = 5 $\ne 4$ $\to$ (2,3) does not lies on the line x + y = 4

To check x - 3 =0, substitute the values of x and y in the equation.
2 - 3 = -1 $\ne 0$ $\to$ (2, 3) does not lies on the line x -3 = 0

To check 3x - 2y = 0, substitute the values of x and y in the equation.
3(2) - 2(3) = 0 $\to$ (2, 3) lies on the line 3x - 2y = 0.

Similarly substitute,
(3, 0) on x - 3 = 0 $\to$ (3, 0) lies on x - 3 = 0

(0, 4) on x + y = 4 $\to$ (0, 4) lies on x + y = 4 and

(2, -3) on 3x + 2y = 0 $\to$ (2, -3) lies on 3x + 2y = 0