Algebra

1. What is the slope of the line that passes through the points (-2, 5) and (1, 4)?

A. -3
B. -2
C. -1/3
D. 1/3

2. A line has a slope -5/3. Through which two points could this line pass?
A. (12, 13) and (17, 10)
B. (16, 15) and (13, 10)
C. (0, 7) and (3, 10)
D. (11, 13) and (8, 18)

3. The pair of points (6,y) and (10,1) lies on a line with the slope 1/4. What is the value of y?
A. -5
B. -2
C. 2
D. 5

4. What is the slope of the line that passes through the points (4, 2) and (4, -3)?
A. -1
B. 0
C. 1
D. Undefined

5. A car is 500 miles from its destination after 2 hours and 410 miles from its destination after 3.5 hours. What is the rate of change?
A. 1.5 miles per hour
B. 60 miles per hour
C. 90 miles per hour
D. 135 miles per hour

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  1. slope is change in y divided by the change in x. So,

    #1: (4-5)/(1-(-2))
    #2: gotta do the division till you find the right pair.
    #3: change in y is 1/4 the change in x. So, since x changes by 4, y changes by 1...
    #4: since x has not changed, the line is vertical
    #5: again, since the rate you want is mi/hr, divide the change in distance by the change in time.
    (500-410)mi / (3.5-2.0)hr = 90mi/1.5hr = 60 mi/hr

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  2. Great Job Steve, I like that you didn't put only the answer. I needed help with the last one and you really helped.

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  3. thanks for absolutly no help.

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  4. The answers are
    C. -1/3
    D. (11,13) and (8,18)
    B. -2
    D. UNDEFINED
    B. 60 MILES PER HOUR

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