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Find the slope of the line that passes through (1,7)(1, 7) and (9,6)(9, 6).\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 (1,7)(1, 7) and (9,6)(9, 6).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____
  1. Identify Coordinates: Identify the coordinates of the two points.\newlinePoint 11: (x1,y1)=(1,7)(x_1, y_1) = (1, 7)\newlinePoint 22: (x2,y2)=(9,6)(x_2, y_2) = (9, 6)\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: m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}. We will use this formula to find the slope of the line passing through the given points.
  3. Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. m=6791m = \frac{6 - 7}{9 - 1}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator. m=18m = \frac{-1}{8}
  5. Simplify Fraction: Simplify the fraction if possible.\newlineThe fraction 18-\frac{1}{8} is already in its simplest form, so no further simplification is needed.

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