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Question
Select the correct option from the given alternatives:
A line passes through (2, 2) and is perpendicular to the line 3x + y = 3. Its y−interecpt is
Options
`1/3`
`2/3`
1
`4/3`
Solution
`4/3`
Explanation:
Slope of line 3x + y = 3 is −3
∴ Slope of the line perpendicular to given line = `1/3`.
Equation of required line passing through (2, 2) and having slope `1/3` is
y − 2 = `1/3("x"-2)`
∴ 3y − 6 = x − 2
∴ x − 3y + 4 = 0
y-intercept = `(-4)/(-3)=4/3`
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