Question

_______ is a line passing through the point (3, 0).

• A. $x+2y=5$
• B. $x-2y=-3$
• C. $x+2y=3$
• D. $2x+y=4$

Answer 1

The correct option is C $x+2y=3$

The point on a line satisfies the equation of that line.

Substitue the value of coordinates (x = 3, y = 0) in

1.$x+2y=5$
3 + 2(0) = 3 $\ne$ 5 $\to$ ($x+2y=5$ does not passes through (3, 0)

2.$x-2y=-3$
3 - 2(0) = 3 $\ne$ -3 $\to$ $x-2y=-3$ does not passes through (3, 0)

3.$x+2y=3$
3 + 2(0) = 3 $\to$ $x+2y=3$ passes through (3, 0)

4. $2x+y=4$
2(3) + ) = 6 $\ne$ 4 $\to$ $2x+y=4$ does not passes through (3, 0)