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Find the slope of the line that passes through (10,9)(10, 9) and (2,2)(2, 2).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____

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Q. Find the slope of the line that passes through (10,9)(10, 9) and (2,2)(2, 2).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____
  1. Identify Slope Formula: To find the slope of the line that passes through two points, we use the slope formula, which is (y2y1)/(x2x1)(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: Let's plug in the coordinates of the two points into the slope formula. For our points (10,9)(10, 9) and (2,2)(2, 2), we have:\newlinex1=10x_1 = 10, y1=9y_1 = 9, x2=2x_2 = 2, y2=2y_2 = 2.\newlineSo, the slope mm is (29)/(210)(2 - 9) / (2 - 10).
  3. Calculate Slope: Now, let's calculate the slope: m=29210=78m = \frac{2 - 9}{2 - 10} = \frac{-7}{-8}.
  4. Simplify Fraction: Simplify the fraction: m=78m = \frac{7}{8}.

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