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Find the slope of the line that passes through (8,6)(8, 6) and (10,5)(10, 5).\newlineWrite your answer in its simplest form.

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Q. Find the slope of the line that passes through (8,6)(8, 6) and (10,5)(10, 5).\newlineWrite your answer in its simplest form.
  1. Identify Coordinates: Identify the coordinates of the two points.\newlinePoint 11: (8,6)(8, 6)\newlinePoint 22: (10,5)(10, 5)\newlineWe will use these coordinates to calculate the slope of the line.
  2. Recall Slope Formula: Recall the formula for the slope mm of a line given two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is:\newlinem=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}
  3. Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. m=56108m = \frac{5 - 6}{10 - 8}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator. m=12m = \frac{-1}{2}
  5. Simplify Fraction: Simplify the fraction if possible.\newlineThe fraction 12-\frac{1}{2} is already in its simplest form.

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