Matematika

Pertanyaan

tentukan persamaan garis yg melalui titik (2,5) dan tegak lurus dengan garis berikut;b. y=-1/2x +6.c.3x=-4y + 5

1 Jawaban

  • b. y = -½x + 6
    m1 = -½
    m1 × m2 = -1
    -½ × m2 = -1
    m2 = -1/-½
    m2 = -1 × -2/1
    m2 = 2
    y - y1 = m(x - x1)
    y - 5 = 2(x - 2)
    y - 5 = 2x - 4
    y - 2x = -4 + 5
    y - 2x = 1 atau
    y - 2x - 1 = 0
    c. 3x = -4y + 5
    3x + 4y = 5
    m1 = -a/b
    m1 = -¾
    m1 × m2 = -1
    -¾ × m2 = -1
    m2 = -1/-¾
    m2 = -1 × -4/3
    m2 = 4/3
    y - y1 = m(x - x1)
    y - 5 = 4/3(x - 2)
    3(y - 5) = 4(x - 2)
    3y - 15 = 4x - 8
    3y - 4x = -8 + 15
    3y - 4x = 7 atau
    3y - 4x - 7 = 0

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