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Find the slope of the line that passes through (8,10)(8, 10) and (1,2)(1, 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 (8,10)(8, 10) and (1,2)(1, 2).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____
  1. Slope Formula: To find the slope of the line that passes through two points, we use the slope formula: slope m=y2y1x2x1m = \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. Assign Coordinates: Let's assign the coordinates: (x1,y1)=(8,10)(x_1, y_1) = (8, 10) and (x2,y2)=(1,2)(x_2, y_2) = (1, 2). Now we can plug these values into the slope formula.
  3. Plug Values: Using the slope formula: m=21018m = \frac{2 - 10}{1 - 8}.
  4. Calculate Differences: Calculate the differences: m=(8)/(7)m = (-8) / (-7).
  5. Simplify Fraction: Simplify the fraction: m=87m = \frac{8}{7}.

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