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Find and interpret the slope of the line containing the given points (2,4) and (2,-1)

Find and interpret the slope of the line containing the given points\newline(2,4) (2,4) and (2,−1) (2,-1)

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Full solution

Q. Find and interpret the slope of the line containing the given points\newline(2,4) (2,4) and (2,−1) (2,-1)
  1. Identify coordinates: Identify the coordinates of the points.\newlinePoint 11: (2,4)(2, 4)\newlinePoint 22: (2,−1)(2, -1)
  2. Use slope formula: Use the slope formula: m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}.\newlineSubstitute the coordinates into the formula:\newlinem=−1−42−2m = \frac{-1 - 4}{2 - 2}
  3. Calculate slope: Calculate the slope.\newlinem=−50m = \frac{-5}{0}\newlineThis results in a division by zero, which means the slope is undefined.

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