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  • A line passes through 2 2 and is perpendicular to the line 3x plus y equal to 3. Its y-intercept is A. 1 divided 3 B. 2 divided 3 C. 1 D. 4 divided 3

A line passes through (2, 2) and is perpendicular to the line 3x + y = 3. Its y-intercept is
A. 1/3
B. 2/3
C. 1
D. 4/3

Answers (1)

Given line is 3x+y=3  It can be re written as y=-3x+3

  Comparing it with the y=mx+b form of equation we get the slope as m= -3   

 So slope of the perpendicular line will be1/3 

 The line passes through (2,2) and has a slope1/3 is  y-2=\frac{1}{3}\left ( x-2 \right )

  3y-6=x-2 

  3y=x+4 

y=\frac{1}{3}x + \frac{4}{3}

  So, the y intercept is \frac{4}{3}

Hence, the correct option is (d)

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infoexpert22

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