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Find the slope of the line that passes through (2,4)(2, 4) and (7,3)(7, 3).\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 (2,4)(2, 4) and (7,3)(7, 3).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____
  1. Find the slope: To find the slope ( extit{m}), use the formula m=(y2−y1)(x2−x1)m = \frac{(y_2 - y_1)}{(x_2 - x_1)} where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are the coordinates of the two points.
  2. Plug in coordinates: Plug in the coordinates into the formula: m=3−47−2.m = \frac{3 - 4}{7 - 2}.
  3. Calculate differences: Calculate the differences: m=−15m = \frac{-1}{5}.
  4. Simplify the fraction: Simplify the fraction: m=−15m = -\frac{1}{5}.

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