Question

The equation of the line whose inclination is 150° and making an intercept of -3 on the x-axis is​

Answer 1

Answer:

⇒ x + √3y + (5√3 − 3) = 0, is the required equation of the line.

Step-by-step explanation:

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Answer 2

Answer:

x +√ 3y+ 3=0

Step-by-step explanation:

Inclination of the line,

θ = 150°  

∴ Slope, m = tan(150°) = tan(180° - 30°)  = – tan 30°  = – 1 √ 3

Since the line passes through (-3, 0)

∴ Equation of the line is

(y – y1) = m(x – x1)  

y - 0 = - 1 √ 3 ( x-(-3) )

y  = - 1 √ 3 (x+3)

√ 3y= - x - 3

x +√ 3y+ 3=0

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