Question

Find the equation of a line which passes through (5, 4) and makes an angle of 60° with the positive direction of the x-axis.

Answer 1

Slope of the line = tan 60° = `sqrt(3)`

The line passes through the point (5, 4) = (x₁, y₁)

Substituting the values in y – y₁ = m (x – x₁), we get,

`y - 4 = sqrt(3)(x - 5)`

`y - 4 = sqrt(3)x - 5sqrt(3)`

`y = sqrt(3)x + 4 - 5sqrt(3)`, which is the required equation.