Question

Write a pair of ordered pairs that can be on the same line and have a slope of %7B2%7D" id="TexFormula1" title="\frac{-3}{2}" alt="\frac{-3}{2}" align="absmiddle" class="latex-formula">

Answer 1

Answer:

  (0, 0), (2, -3)

Step-by-step explanation:

The slope of -3/2 tells you the "rise" is -3 while the "run" is +2. That is, the difference in y-values (rise) will be -3 when the difference in x-values (run) is 2. You can scale these values any way you like, making them -3/5 and 2/5, for example, or 933 and -622.

Since the line is unspecified, you can also add any translation to these points that you might like.

A generic pair of points that fit the requirement is ...

  (0, 0) and (2, -3)

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If we scale these by a factor of 2.1 and add a translation of (-5, 42), then the points could be ...

  (-5, 42), (-0.8, 35.7) . . . . another pair of points on a line with slope -3/2