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write an equation of the line that passes through the given points:
1.(-1,0),(0,-2)

  • math -

    m = y2 - y1 / x2 - x1
    m = -2 - 0 / 0 - (-1)
    m = -2/1
    m = -2

    point slope form

    y - y1 = m (x - x1)
    y - 0 = -2 (x - (-1))
    y = -2 (x + 1)
    y = -2x - 2

  • math -

    the slope of the line is:
    (-2 - 0) /( 0 + 1) = -2
    the slope of the line is also
    (y-0)/(x+1) = slope from any point on the line to (-1,0)
    so
    y /(x+1) = -2
    y = -2 x - 2
    -----------------------
    now check
    0 = -2 (-1) - 2 yes
    -2 = -2(0) -2 yes so we got it.

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