Question

intersecting y-axis at a distance of 2 units above the origin and making an angle of 30 degree with the positive direction of the x-axis find the equation of a line

Answer 1

Please see the attachment

Answer 2

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

Step-by-step explanation:

The required straight line makes 30° angle with the positive direction of the x-axis and hence, the slope of the required straight line will be

tan 30° = $\frac{1}{\sqrt{3} }$

Again, it is given that the straight line intersects the y-axis at a distance of 2 units above the origin, so the y-intercept of the required straight line is 2.

Hence, the equation of the straight line will be (in slope-intercept form) given by

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