Matematika

Pertanyaan

persamaan garis melalui titik (2,-3) dan ( -4,7)

2 Jawaban

  • y - y1 • x - x1
    ------- = -----
    y2 - y1 • x2 - x1

    y - (-3) • x - 2
    --------- = ------
    7 - (-3) • -4 - 2

    y + 3 • x - 2
    ------- = ------
    10 •••• -6

    -6 (y+3) = 10 (x-2)
    -6y - 18 = 10x - 20
    -10x - 6y = -2
    ---------------------- :2
    -5x - 3y = -1
  • Gradien dan Garis Lurus

    x1 = 2
    y1 = -3
    x2 = -4
    y2 = 7

    Persamaan garisnya,

    ⇒ [tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} [/tex]
    ⇒ [tex] \frac{y + 3}{10} = \frac{x - 2}{-6} [/tex]   |Cross Product|
    ⇒                  10 (x - 2) = -6 (y + 3)
    ⇒                    10x - 20 = -6y - 18
    ⇒     10x + 6y -20 + 18 = 0
    ⇒              10x + 6y - 2 = 0  |:2|
    ⇒                5x + 3y - 1 = 0


    Semoga Membantu!!!


Pertanyaan Lainnya