Pertanyaan

Persamaan garis lurus yang melalui P(-2,5) dan tegak lurus garis 3x - 7y + 13 = 0 adalah ...

3y - 7x - 19 = 0
3y + 7x - 19 = 0
3y + 7x + 1 = 0
3y + 7x - 1 = 0
3y - 7x - 1= 0

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Jawaban terverifikasi

Pembahasan

$3 x minus 7 y plus 13 equals 0 rightwards arrow a equals 3 semicolon space b equals negative 7 m equals negative a over b equals fraction numerator negative 3 over denominator negative 7 end fraction equals 3 over 7 T e g a k space l u r u s space b e r a r t i m subscript 1. m subscript 2 equals negative 1 3 over 7. m subscript 2 equals negative 1 m subscript 2 equals negative 7 over 3 P e r s a m a a n space g a r i s space m e l a l u i space P left parenthesis negative 2 comma 5 right parenthesis space d e n g a n space g r a d i e n space minus 7 over 3 y minus y subscript 1 equals m left parenthesis x minus x subscript 1 right parenthesis y minus 5 equals negative 1 half left parenthesis x plus 2 right parenthesis 3 left parenthesis y minus 5 right parenthesis equals 3. negative 1 half left parenthesis x plus 2 right parenthesis 3 y minus 15 equals negative 7 x minus 14 3 y plus 7 x minus 1 equals 0$