Question

Find the equation of a line whose inclination is 30˚ and making an intercept –3 on the Y-axis.

Answer 1

Angle of inclination = 30°

Slope of a line = tan 30°

(m) = `1/sqrt(3)`

y intercept (c) = –3

Equation of a line is y = mx + c

y = `1/sqrt(3) x - 3`

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

∴ `x - sqrt(3)y - 3sqrt(3)` = 0