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Buktikan bahwa titik P ( 2 , − 5 ) , Q ( − 5 , 1 ) , dan R ( 16 , − 17 ) kolinear.

Buktikan bahwa titik  kolinear.

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  2. undefined 

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R. Septa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

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Pembahasan

Kolinear (segaris) jika berlaku . Terbukti dengan k = 3.

Kolinear (segaris) jika berlaku begin mathsize 14px style QR with rightwards arrow on top equals straight k times PQ with rightwards arrow on top end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell PQ with rightwards arrow on top end cell equals cell straight Q minus straight P end cell row blank equals cell open parentheses table row cell negative 5 end cell row 1 end table close parentheses minus open parentheses table row 2 row cell negative 5 end cell end table close parentheses end cell row blank equals cell open parentheses table row cell negative 7 end cell row 6 end table close parentheses end cell end table end style  

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell QR with rightwards arrow on top end cell equals cell straight R minus straight Q end cell row cell QR with rightwards arrow on top end cell equals cell open parentheses table row 16 row cell negative 17 end cell end table close parentheses minus open parentheses table row cell negative 5 end cell row 1 end table close parentheses end cell row cell QR with rightwards arrow on top end cell equals cell open parentheses table row 21 row cell negative 18 end cell end table close parentheses end cell row cell QR with rightwards arrow on top end cell equals cell 3 times open parentheses table row cell negative 7 end cell row 6 end table close parentheses end cell row cell QR with rightwards arrow on top end cell equals cell 3 times PQ with rightwards arrow on top end cell end table end style         

Terbukti dengan k = 3.

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