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Find the slope of the line that passes through (2,11)(2, 11) and (9,5)(9, 5).\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 (2,11)(2, 11) and (9,5)(9, 5).\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=5−119−2m = \frac{5 - 11}{9 - 2}.
  3. Calculate differences: Calculate the differences: m=−67m = \frac{-6}{7}.
  4. Simplify the fraction: Simplify the fraction: m=−67.m = -\frac{6}{7}.

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