Pertanyaan

Persamaan garis yang melalui titik P(-5,7) dan Q(2,-3) adalah ...

5y + 7x - 24 = 0
5y - 7x + 24 = 0
7y + 5x - 24 = 0
5y+ 7x - 24 = 0
-7y + 5x - 24 = 0

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Pembahasan

$P left parenthesis negative 5 comma 7 right parenthesis rightwards arrow x subscript 1 equals negative 5 comma space y subscript 1 equals 7 Q left parenthesis 2 comma negative 3 right parenthesis rightwards arrow x subscript 2 equals 2 comma space y subscript 2 equals negative 3 fraction numerator y minus y subscript 1 over denominator y subscript 2 minus y subscript 1 end fraction equals fraction numerator x minus x subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction fraction numerator y minus 7 over denominator negative 3 minus 2 end fraction equals fraction numerator x plus 5 over denominator 2 plus 5 end fraction fraction numerator y minus 7 over denominator negative 5 end fraction equals fraction numerator x plus 5 over denominator 7 end fraction 7 left parenthesis y minus 7 right parenthesis equals negative 5 left parenthesis x plus 5 right parenthesis 7 y minus 49 equals negative 5 x minus 257 y plus 5 x minus 24 equals 0$