Math 116

1.Write an equation of the line containing the given points and parallel to the given line (3,8); x+5y=3

2. Write an equation of the line containing the given points and parallel to the given line (-3,6); 5x=9y+2

3. Write an equation of the line containing the given points and perpendicular to the given line (4,5); 9x+y=7

4. Write an equation of the line containing the given points and perpendicular to the given line (5,-2); 9x+2y=7

5. Media Services charges $30 for a phone and $20/month for its economy plan. Find a model that determines the total cost, C(t), of operating a Media Services phone for t months. C(t)=?

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  1. 1. (3,8), x + 5y = 3.

    m = m2 = -A/B = -1/5.

    y = mx + b,
    y = (-1/5)3 + b = 8,
    b = 8 3/5.

    y = (-1/5)x + 8 3/5.

    2. Same procedure as #1.

    3. (4,5), 9x + y = 7.
    m = -9/1 = -9.
    m2 = 1/9.

    y = (1/9)4 + b = 5,
    b = 5 - 4/9 = 4 5/9.
    y = (1/9)x + 4 5/9.

    4. Same procedure as #3.

    5. C(t) = 20t + 30.

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