Question

The point (1,3) lies on the line _____.

• A. x + 2y = 7
• B. 2x + y = 6
• C. 4x – y = 5
• D. 3x – 2y = 1

Answer 1

The correct option is A x + 2y = 7

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

Substituting $(1,3)$ in the equation,

1) $x+2y=7\Rightarrow 1+2\left(3\right)=7\text{satisfies the equation}$

2) $2x+y=6\Rightarrow 2\left(1\right)+3=5\ne 6\text{does not satisfy the equation}$

3) $4x–y=5\Rightarrow 4\left(1\right)–3=1\ne 5,\text{does not satisfy the equation}$

4) $3x–2y=1\Rightarrow 3\left(1\right)–2\left(3\right)=-3\ne 1\text{does not satisfy the equation}$