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Question
A line passes through (2, 2) and is perpendicular to the line 3x + y = 3. Its y-intercept is ______.
Options
`1/3`
`2/3`
1
`4/3`
Solution
A line passes through (2, 2) and is perpendicular to the line 3x + y = 3. Its y-intercept is `4/3`.
Explanation:
Any line perpendicular to 3x + y = 3
x – 3y = λ ....(λ = constant)
If it passes through the point (2, 2)
Then 2 – 3(2) = λ
⇒ λ = – 4
∴ Required equation is x – 3y = – 4
⇒ – 3y = – x – 4
⇒ y = `1/3x + 4/3` ......[∵ y = mx + c]
So, the y-intercept is `4/3`.
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