Answer
The point \[\left( 0,3 \right)\]lies along a line, so \['3'\]is an \[y-\text{intercept}\]of that line.
Work Step by Step
Consider the linear equation:
\[Ax+By=C\]
Put \[x=0\], in the above expression:
\[\begin{align}
& A\times 0+By=C \\
& y=\left[ \frac{C}{B} \right] \\
\end{align}\]
So, point of intersection of above equation on Y-axis will be \[\left( 0,\frac{C}{B} \right)\].
And, the value of \[\left( \frac{C}{B} \right)\] is called \[y-\text{intercept}\]
In the above problem, point of intersection is \[\left( 0,3 \right)\],
Therefore,\['3'\] is called \[y-\text{intercept}\]of that line.
