Pertanyaan

Titik R (-3, k ) terletak pada garis yang melalui titik S(4,7) dan T (2,-1). nilai k adalah...

Titik R (-3,k) terletak pada garis yang melalui titik S (4,7) dan T (2,-1). nilai k adalah...

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$P e r s a m a a n space g a r i s space y a n g space m e l a l u i space t i t i k space S left parenthesis 4 comma 7 right parenthesis space d a n space T left parenthesis 2 comma negative 1 right parenthesis space a d a l a h space fraction numerator y minus y subscript 1 over denominator y subscript 2 minus y subscript 1 end fraction equals fraction numerator x minus x subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction fraction numerator y minus 7 over denominator negative 1 minus 7 end fraction equals fraction numerator x minus 4 over denominator 2 minus 4 end fraction fraction numerator y minus 7 over denominator up diagonal strike negative 8 end strike to the power of 4 end fraction equals fraction numerator x minus 4 over denominator up diagonal strike negative 2 end strike to the power of 1 end fraction y minus 7 equals 4 x minus 16 y equals 4 x minus 9 T i t i k space R left parenthesis negative 3 comma k right parenthesis space t e r l e t a k space p a d a space g a r i s comma a r t i n y a space y equals 4 x minus 9 k equals 4 left parenthesis negative 3 right parenthesis minus 9 k equals negative 21$