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Pertanyaan

Pada gambar di atas, tentukan persamaan garis g dan l!

N. Sari

Master Teacher

Mahasiswa/Alumni Universitas Nasional

Jawaban terverifikasi

Pembahasan

Garis g melalui titik left parenthesis negative 3 comma 0 right parenthesis space dan space left parenthesis 0 comma 4 right parenthesis, maka :

table attributes columnalign right center left columnspacing 0px end attributes row cell x subscript 1 end cell equals cell negative 3 end cell row cell x subscript 2 end cell equals 0 row cell y subscript 1 end cell equals 0 row cell y subscript 2 end cell equals 4 end table

Sehingga persamaan garisnya :

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator y minus y subscript 1 over denominator y subscript 2 minus y subscript 1 end fraction end cell equals cell fraction numerator x minus x subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction end cell row cell fraction numerator y minus 0 over denominator 4 minus 0 end fraction end cell equals cell fraction numerator x minus left parenthesis negative 3 right parenthesis over denominator 0 minus left parenthesis negative 3 right parenthesis end fraction end cell row cell y over 4 end cell equals cell fraction numerator x plus 3 over denominator 3 end fraction end cell row cell 3 y end cell equals cell 4 left parenthesis x plus 3 right parenthesis end cell row cell 3 y end cell equals cell 4 x plus 12 end cell end table

Maka, persamaan garis g adalah 3 y equals 4 x plus 12

Garis g melalui titik left parenthesis 5 comma 0 right parenthesis space dan space left parenthesis 0 comma 4 right parenthesis, maka :

table attributes columnalign right center left columnspacing 0px end attributes row cell x subscript 1 end cell equals 5 row cell x subscript 2 end cell equals 0 row cell y subscript 1 end cell equals 0 row cell y subscript 2 end cell equals 4 end table

Sehingga persamaan garisnya :

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator y minus y subscript 1 over denominator y subscript 2 minus y subscript 1 end fraction end cell equals cell fraction numerator x minus x subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction end cell row cell fraction numerator y minus 0 over denominator 4 minus 0 end fraction end cell equals cell fraction numerator x minus 5 over denominator 0 minus 5 end fraction end cell row cell y over 4 end cell equals cell fraction numerator x minus 5 over denominator negative 5 end fraction end cell row cell negative 5 y end cell equals cell 4 left parenthesis x plus 3 right parenthesis end cell row cell negative 5 y end cell equals cell 4 x plus 12 end cell end table

Maka, persamaan garis l​​​​​​​ adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank y end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank x end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 12 end table

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