A line passes through the point (2, 2) and is perpendicular to the lin – InterviewSolution

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1.

A line passes through the point (2, 2) and is perpendicular to the line 3x + y = 3. Its y-intercepts is A. \(\frac{1}{3}\) B. \(\frac{2}{3}\) C. 1 D. \(\frac{4}{3}\)

Answer»

The equation of the line perpendicular to 3x + y = 3 is given below:

x – 3y + λ = 0

This line passes through (2, 2).

2 – 6 + λ = 0

⇒ λ = 4

So, the equation of the line will be

x – 3y + 4 = 0

⇒ y = 13x + 43

Hence, the y-intercept is \(\frac{4}{3}\).

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