Question

Find the angle which the straight line y=√3x-4 makes with the y axis​

Answer 1

slope =

$\sqrt{3}$

hence the line makes

${60}^{0} \: with \: x - axis$

so it makes

${30}^{0} \: with \: y - axis$

Answer 2

y=√3x-4 can be written as 4=√3x-y

So the equation to find slope m=(-a/b)

So m=(-√3/-1)=√3

Also slope m=tan(theta)=√3

We know that tan 60°=√3

So definitely angle theta is 60°.

So the straight line makes 60° with the x-axis.

Since y axis is perpendicular (90°) with x-axis, the angle made by the straight line with y-axis is 90°-60°= 30°

Hope it helped u ☺️