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) = ${\displaystyle \frac{1}{\sqrt{3}}}$

y intercept (c) = –3

Equation of a line is y = mx + c

y = ${\displaystyle \frac{1}{\sqrt{3}}x-3}$

${\displaystyle \sqrt{3}y=x-3\sqrt{3}}$

∴ ${\displaystyle x-\sqrt{3}y-3\sqrt{3}}$ = 0