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March 30, 2017

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Which of the following is TRUE about the line through the points (–1, 4) and (–1, 2)?

Please EXPLAIN/SHOW WORK.

A. The slope is undefined
B. The slope is negative
C. The slope is 0
D. The slope is positive

  • Math - ,

    A. The slope is undefined.

    B. The slope is negative.

    C. The slope is 0.

    D. The slope is positive.

  • Math - ,

    The slope m between two points P1(x1,y1) and P2(x2,y2) can be calculated using

    m=(y2-y1)/(x2-x1) where x2≠x1

    if x2=x1, and y2≠y1, it means that the line is vertical (slope is infinite or undefined)

    if x2=x1 and y2=y1, the two points are coincident and the line is indefinite.

    In all other cases, the slope m can be obtained by the formula above.

    For the case in question,
    P1(–1, 4) and P2(–1, 2)
    so x2=x1=-1, and y2≠y1
    Therefore the line is vertical.
    Post again if you need more explanations to choose the answer.

  • Math - ,

    If the line is vertical there is no slope making it undefined correct?

  • Math - ,

    correct!

  • Math - ,

    Sorry, it should read:

    If the line is vertical the slope is infinite making it undefined.

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