Question

Find the point at which the graph of the linear equation $2x+3y=6$ meets the $x-$axis.

Answer 1

Determine the point:

The given linear equation is $2x+3y=6$.
As we know the equation of a line that meets $x-$axis has $y=0$.

So, substitute $y=0$ in the given equation,

$2x+3y=6$

$\Rightarrow$$2x+3\left(0\right)=6$

$\Rightarrow$ $2x=6$

$\Rightarrow$ $x=\frac{6}{2}=3$

Hence, the point at which the graph of the linear equation meets the $x-$axis is $(3,0)$.