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Mathematics

Find the equation of a straight line whose inclination is 60° and which passes through the point (0, -3).

Straight Line Eq

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Answer

Given inclination = θ = 60°.

m = tan θ = tan 60° = 3\sqrt{3}.

Let the equation of line be y = mx + c.

Since, the line passes through point (0, -3) hence, it must satisfy the equation. Putting point and m in the equation,

⇒ -3 = 3×0\sqrt{3} \times 0 + c
⇒ c = -3.

So, the equation of line whose slope = 3\sqrt{3} and y-intercept = -3 is,

y = 3\sqrt{3}x - 3 or 3xy3=0.\sqrt{3}x - y - 3 = 0.

Hence, the equation of straight line is 3xy3=0.\sqrt{3}x - y - 3 = 0.

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