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Find the slope of the line that passes through (1,6)(1, 6) and (10,5)(10, 5).\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 (1,6)(1, 6) and (10,5)(10, 5).\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)=(1,6)(x_1, y_1) = (1, 6)\newlinePoint 22: (x2,y2)=(10,5)(x_2, y_2) = (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: m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}. We will plug in the coordinates of our two points into this formula.
  3. Substitute Coordinates: Substitute the coordinates into the slope formula.\newlinem=56101m = \frac{5 - 6}{10 - 1}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator. m=19m = \frac{-1}{9}
  5. Simplify Fraction: Simplify the fraction if possible.\newlineThe fraction 19-\frac{1}{9} is already in simplest form, so we do not need to simplify further.

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