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Find the slope of the line that passes through (2,2)(2, 2) and (6,1)(6, 1).\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 (2,2)(2, 2) and (6,1)(6, 1).\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)=(2,2)(x_1, y_1) = (2, 2)\newlinePoint 22: (x2,y2)=(6,1)(x_2, y_2) = (6, 1)
  2. Recall Slope Formula: Recall the formula for the slope mm of a line passing through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by:\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.\newlinem=1262m = \frac{1 - 2}{6 - 2}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator. m=14m = \frac{-1}{4}
  5. Simplify Fraction: Simplify the fraction if possible.\newlineThe fraction 14-\frac{1}{4} is already in its simplest form.

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