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Find the slope of the line that passes through (1,10)(1, 10) and (5,1)(5, 1).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____

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Full solution

Q. Find the slope of the line that passes through (1,10)(1, 10) and (5,1)(5, 1).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____
  1. Use Slope Formula: To find the slope mm of a line that passes through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2), use the formula m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}.
  2. Plug in Coordinates: Plug in the coordinates of the two points into the slope formula. So, m=1−105−1m = \frac{1 - 10}{5 - 1}.
  3. Calculate Differences: Calculate the differences: m=−94m = \frac{-9}{4}.
  4. Find Slope: The slope of the line is −94-\frac{9}{4}.

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