Question

The point $\left(0,3\right)$ lies on the graph of the linear equation $3x+4y=12.$ Write whether the following statement is true or false . Justify your answer.

Answer 1

A point will lie on a linear equation if it satisfies that equation.

Here the given point is $\left(0,3\right)$,

so putting $x=0$ and $y=3$ in L.H.S of $3x+4y=12$, we get

$3x+4y=3\times 0+4\times 3=0+12=12.$

Here, $12=12$

Hence the given statement is true.