Question

Two lines passing through the point (2, 3) intersects each other at an angle of 60°. If slope of one line is 2, find equation of the other line.

Answer 1

It is given that the slope of the first line, m₁ = 2.

Let the slope of the other line be m₂.

The angle between the two lines is 60°.

The equation of the line passing through point (2, 3) and having a slope of is

In this case, the equation of the other line is.

The equation of the line passing through point (2, 3) and having a slope of is

In this case, the equation of the other line is.

Thus, the required equation of the other line is or .