Question

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

Answer 1

Answer:

30°

Step-by-step explanation:

According to the given question,

y = root3x-4

And we are asked to find the angle it makes with y - axis.

So, by comparing the given equation with the general; y = mx+c

We get, m = root3

So m = root3 and we know m is called the slope of the line by measuring from x-axis.

And also m = tanx;

where x = Angle between the line and the x-axis.

• So, tanx = m

• tanx = root3

(As m = root3)

• tanx = tan 60°

(root3 = tan 60°)

• x = 60°

Hence it makes 60° with x axis and we also know angle between x and y axis is 90°.

Therefore, the angle between the given line with y-axis is = 90°-60° = 30° ans.