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Persaman garis yang melalui titik A {-3,4} dan B {-4,-6} adalah….

persaman garis yang melalui titik A {-3,4} dan B {-4,-6} adalah….

Jawaban yang benar adalah 10x – y + 34 = 0

Persamaan garis yang melalui 2 titik, yaitu titik (x1, y1) dan titik (x2, y2), dapat ditentukan dengan rumus:
(y – y1)/(y2 – y1) = (x – x1)/(x2 – x1)

Ingat!
a(b ± c) = a.b ± a.c

Pembahasan,

Diketahui,
titik A(-3, 4) dan titik B(-4, -6), maka:
x1 = -3 dan y1 = 4
x2 = -4 dan y2 = -6
Sehingga, persamaan garis yang melalui 2 titik tersebut adalah:
(y – y1)/(y2 – y1) = (x – x1)/(x2 – x1)
(y – 4)/(-6 – 4) = (x – (-3))/(-4 – (-3))
(y – 4)/(-10) = (x + 3)/(-4 + 3)
(y – 4)/(-10) = (x + 3)/(-1)
(-1)(y – 4) = (-10)(x + 3)
-y + 4 = -10x – 30
-y + 4 + 10x + 30 = 0
10x – y + 34 = 0

Sehingga, persamaan garis yang melalui titik A dan B adalah 10x – y + 34 = 0

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