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Find the slope of the line that passes through (8,6)(8, 6) and (3,3)(3, 3).\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 (8,6)(8, 6) and (3,3)(3, 3).\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: (8,6)(8, 6)\newlinePoint 22: (3,3)(3, 3)\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.\newlineUsing Point 11 (8,6)(8, 6) as (x1,y1)(x_1, y_1) and Point 22 (3,3)(3, 3) as (x2,y2)(x_2, y_2), we get:\newlinem=(36)(38)m = \frac{(3 - 6)}{(3 - 8)}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator. m=35m = \frac{-3}{-5}
  5. Simplify Fraction: Simplify the fraction.\newlineSince both the numerator and the denominator are negative, the slope is positive. We get:\newlinem=35m = \frac{3}{5}

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