Algebra (grade 9)

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Write an equation in point-slope form of the line that passes through the given points:
1. (5,-6), (1,-7)
2. (6,-3), (-1,9)

3. write an equation of a line that is perpendicular to y=-3x+5 and passes through (4,3).

  • Algebra (grade 9) -

    for #1 and #2
    first find the slope, that gives you the m.
    Now pick one of the given points and sub those values into
    y = mx + b
    Solve for b and rewrite the equation.

    I am sure that your teacher and/or your textbook has given you several examples of this type of fundamental question.

    #3.
    The line perpedicular to the given line must have slope of 1/3

    so new equation:
    y = (1/3)x + b
    sub in (4,3)
    3 = (1/3)(4) + b
    I usually get rid of my fractions by multiplying by whatever the denominator is
    9 = 4 + 3b
    b = 5/3

    final equation : y = (1/3)x + 5/3

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