Question

find the equation of a line which passes through (-2,3) and makes an a gle of 30° with the positibe direction of x axis​

Answer 1

Step-by-step explanation:

As tan x = m (slope)

So tan 30 =m

So

$m = \frac{1}{ \sqrt{3} }$

Using Point Slope form

$(y - y1) = m(x - x1)$

Put x1=-2 and y1=3 in above equation

$y - 3 = \frac{1}{ \sqrt{3} } (x + 2)$

You can Solve further to get more simplified form. Otherwise it represents equation of line.