Geometry

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Three points are on a coordinate plane: A(1, 5), B(-2, -4), and C(6, -4).
1.
Write an equation in point-slope form of the line with slope -1 that contains point C.
2.
Write an equation in point-slope form of the line that contains points A an B.
3.
Write an equation of the line that contains B and C.

  • Geometry -

    1. C(6,-4), m = -1. (X,Y).

    m = y-(-4)/(X-6) = -1,

    Eq: Y+4 = -1(X-6).

    2. A(1,5), B(-2,-4),
    m = (-4-5)/(-2-2) = -9/-4 = 9/4.

    A(1,5), X,Y),
    m = (Y-5/(X-1) = (9/4)/1,
    Cross multiply:

    Eq: Y-5 = 9/4(X-1).

    3. Similar to 1 and 2.

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