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Perhatikan gambar beberapa garis yang melalui titik ( 4 , − 2 ) berikut. Tentukan gradien garis a, b, c, d, e, f, dan g.

Perhatikan gambar beberapa garis yang melalui titik  berikut. 

Tentukan gradien garis a, b, c, d, e, f, dan g.

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M. Nasrullah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

Jawaban terverifikasi

Pembahasan

a. Garis a melalui titik dan B. Garis b melalui titik dan . C. Garis c melalui titik dan . D. Garis d melalui titik E. Garis e melalui titik . F. Garis f melalui titik . G. Garis g melalui titik .

a. Garis a melalui titik begin mathsize 14px style left parenthesis 4 space comma negative 2 right parenthesis end style dan begin mathsize 14px style left parenthesis 7 space comma 3 right parenthesis end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row m equals cell fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction end cell row m equals cell fraction numerator 3 minus open parentheses negative 2 close parentheses over denominator 7 minus 4 end fraction end cell row blank equals cell 5 over 3 end cell row blank blank blank end table end style

B. Garis b melalui titik begin mathsize 14px style left parenthesis 4 space comma negative 2 right parenthesis space end styledan begin mathsize 14px style left parenthesis 8 space comma 2 right parenthesis end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row m equals cell fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction end cell row blank equals cell fraction numerator 2 minus open parentheses negative 2 close parentheses over denominator 8 minus 4 end fraction end cell row blank equals cell 4 over 4 end cell row blank equals 1 end table end style 

C. Garis c melalui titik undefineddan begin mathsize 14px style left parenthesis 9 space comma negative 1 right parenthesis end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row m equals cell fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction end cell row blank equals cell fraction numerator negative 1 minus left parenthesis negative 2 right parenthesis over denominator 9 minus 4 end fraction end cell row blank equals cell 1 fifth end cell end table end style

D. Garis d melalui titik begin mathsize 14px style left parenthesis 4 space comma negative 2 right parenthesis space dan space left parenthesis 6 space comma negative 2 right parenthesis end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row m equals cell fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction end cell row m equals cell fraction numerator negative 2 minus left parenthesis negative 2 right parenthesis over denominator 6 minus 4 end fraction end cell row blank equals cell 0 over 2 end cell row blank equals 0 end table end style

E. Garis e melalui titik begin mathsize 14px style left parenthesis 4 comma negative 2 right parenthesis space dan space left parenthesis 6 comma negative 3 right parenthesis end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row m equals cell fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction end cell row m equals cell fraction numerator negative 3 minus left parenthesis negative 2 right parenthesis over denominator 6 minus 4 end fraction end cell row blank equals cell fraction numerator negative 1 over denominator 2 end fraction end cell end table end style

F. Garis f melalui titik begin mathsize 14px style left parenthesis 4 comma negative 2 right parenthesis space dan space left parenthesis 5 comma negative 4 right parenthesis end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row straight m equals cell fraction numerator straight y subscript 2 minus straight y subscript 1 over denominator straight x subscript 2 minus straight x subscript 1 end fraction end cell row straight m equals cell fraction numerator negative 4 minus open parentheses negative 2 close parentheses over denominator 5 minus 4 end fraction end cell row blank equals cell fraction numerator negative 2 over denominator 1 end fraction end cell row blank equals cell negative 2 end cell end table end style

G. Garis g melalui titik begin mathsize 14px style left parenthesis 4 comma negative 2 right parenthesis space dan space left parenthesis 4 comma negative 5 right parenthesis end style .

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row m equals cell fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction space end cell row blank equals cell fraction numerator negative 5 minus open parentheses negative 2 close parentheses over denominator 4 minus 4 end fraction end cell row blank equals cell fraction numerator negative 3 over denominator 0 end fraction end cell row blank equals cell tak space terdefinisi end cell end table end style 

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