Question

Which of the following points lie on the graph of the equation 2x + y = 4?

Options

• (1, 2)

• (0, 2)

• (4, 0)

• (–2, 4)

Answer 1

(1, 2)

Explanation:

Plug (1, 2) into 2x + y = 4:

2(1) + 2 = 4

⇒ 4 = 4

So, (1, 2) lies on the line.

Check the others:

(0, 2) gives 0 + 2 = 2 ≠ 4

(4, 0) gives 8 + 0 = 8 ≠ 4

(–2, 4) gives –4 + 4 = 0 ≠ 4

Only (1, 2) satisfies the equation.