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Find the slope of the line that passes through (8,7)(8, 7) and (6,8)(6, 8).\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 (8,7)(8, 7) and (6,8)(6, 8).\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 mm = y2−y1x2−x1\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.\newlineLet's assign the points as follows: (x1,y1)=(8,7)(x_1, y_1) = (8, 7) and (x2,y2)=(6,8)(x_2, y_2) = (6, 8).\newlineNow we can plug these values into the slope formula.
  2. Assign Points: Calculate the difference in the y-coordinates y2−y1y_2 - y_1: 8−7=18 - 7 = 1.
  3. Calculate y-coordinate difference: Calculate the difference in the x-coordinates (x2−x1)(x_2 - x_1): 6−8=−26 - 8 = -2.
  4. Calculate x-coordinate difference: Now, divide the difference in y-coordinates by the difference in x-coordinates to find the slope: slope mm = 1−2\frac{1}{-2} = −12-\frac{1}{2}.

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