Question

Find the slope of the line passing through the points (-6-9) and (9,-9)

Answer 1

9514 1404 393

Answer:

• zero
• undefined

Step-by-step explanation:

The slope formula is useful for this.

  m = (y2 -y1)/(x2 -x1)

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First line:

  m = (-9 -(-9))/(9 -(-6)) = 0/15 = 0

The slope of the first line is zero.

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Second line:

  m = (-5-1)/(4 -4) = -6/0 = undefined

The slope of the second line is undefined.

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It is always a good idea to apply a little critical thinking to the given information. Here, you observe that the y-coordinates of the first pair of points are the same. That means this is a horizontal line, with a slope of 0.

Similarly, you observe that the x-coordinates of the second pair of points are the same. That means this is a vertical line, with undefined slope.