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Question

A line passes through point (2,2) and perpendicular to the line 3x+y=3. Then, y-intercept is


A

2

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B

53

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C

43

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D

34

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Solution

The correct option is C

43


Step1. Finding the slope of other line

Given line, 3x+y=3

Therefore, y=-3x+3

So, the slope the given line is m1=-3
For two lines to be mutually perpendicular to each other,

Product of their slope is m1×m2=-1

Therefore, m2=13

Step2. Finding the equation of line

Now, equation line passing through the point (2,2) and slope m2=13 is

y-2=13(x-2)y-y1=m2(x-x2)y=x3+43

For y-intercept put x=0

Therefore, y-intercept is 43

Hence, the correct option is (C).


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