Question

the equation of the line passing through (0, 2) making an angle 60 degree with x-axis is (on paper or with step by step explaination)​

Answer 1

Answer:

3^⅓-y+2=0 is your answer

Step-by-step explanation:

step by step explaination done in the paper..

Answer 2

The equation of the line is √3x - y + 2 = 0

Given :

A line passing through (0,2) making an angle 60° with x-axis

To find :

The equation of the line

Formula Used :

The equation of the line passing through the point (x₁ , y₁)

$\displaystyle \sf{ (y - y_1) = m(x - x_1) }$

Where m is the slope of the line

Solution :

Step 1 of 2 :

Calculate slope of the line

Here it is given that the line makes an angle 60° with x-axis

∴ Slope of the line

= m

= tan 60°

= √3

Step 2 of 2 :

Find the equation of the line

The line passes through the point (0,2) and slope of the line is √3

Hence the required equation of the line is

$\displaystyle \sf (y - 2) = \sqrt{3} (x - 0)$

$\displaystyle \sf{ \implies }y - 2 = \sqrt{3} x$

$\displaystyle \sf{ \implies } \sqrt{3} x - y + 2 = 0$

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