Question

The coordinates of points in the table:

x	0	1	2	3	4
y	2	3	4	–5	6

represent some of the solutions of the equation x – y + 2 = 0.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

The coordinates of points are (0, 2), (1, 3), (2, 4), (3, –5) and (4, 6).

Given equation is x – y + 2 = 0

At point (0, 2), 0 – 2 + 2 = 0 ⇒ 0 = 0, it satisfies.

At point (1, 3), 1 – 3 + 2 = 3 – 3 = 0 ⇒ 0 = 0, it satisfies.

At point (2, 4), 2 – 4 + 2 = 4 – 4 = 0 ⇒ 0 = 0, it satisfies.

At point (3, –5), 3 – (–5) + 2 = 3 + 5 + 2 = 10 ≠ 0, it does not satisfy.

At point (4, 6), 4 – 6 + 2 – 6 – 6 = 0 ⇒ 0 = 0, it satisfies.

Hence, point (3, –5) does not satisfy the equation.