Question

The line $y=4x+5$ intersects $y$-axis at the point __________.

Answer 1

Given line is $y=4x+5$ ........... $\left(i\right)$

Any point where the line intersects with $y$-axis is of the form $(0,y)$ i.e. at that point $x$-coordinate is $0$.

So, to find out the point of intersection of line $y=4x+5$ with $y$-axis, we need to put $x=0$

Substitute $x=0$ in $\left(i\right)$, we get

$y=4\times 0+5⟹y=5$

Thus, the point of intersection is $(0,5)$.