CK-12 Geometry - Second Edition

(Marvins-Underground-K-12) #1

3.5. Parallel and Perpendicular Lines in the Coordinate Plane http://www.ck12.org


7.y=− 2 x+3 andy=^12 x+ 3
8.y= 4 x−2 andy= 4 x+ 5
9.y=−x+5 andy=x+ 1
10.y=− 3 x+1 andy= 3 x− 1


  1. 2x− 3 y=6 and 3x+ 2 y= 6

  2. 5x+ 2 y=−4 and 5x+ 2 y= 8
    13.x− 3 y=−3 andx+ 3 y= 9
    14.x+y=6 and 4x+ 4 y=− 16


Determine the equation of the line that isparallelto the given line, through the given point.


15.y=− 5 x+1;(− 2 , 3 )
16.y=^23 x−2;( 9 , 1 )
17.x− 4 y=12;(− 16 ,− 2 )


  1. 3x+ 2 y=10;( 8 ,− 11 )

  2. 2x−y=15;( 3 , 7 )
    20.y=x−5;( 9 ,− 1 )


Determine the equation of the line that isperpendicularto the given line, through the given point.


21.y=x−1;(− 6 , 2 )
22.y= 3 x+4;( 9 ,− 7 )


  1. 5x− 2 y=6;( 5 , 5 )
    24.y=4;(− 1 , 3 )
    25.x=−3;( 1 , 8 )
    26.x− 3 y=11;( 0 , 13 )


Find the equation of the two lines in each graph below. Then, determine if the two lines are parallel, perpendicular
or neither.


27.

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