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Find the slope of the line that passes through (3,10)(3, 10) and (5,7)(5, 7).\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 (3,10)(3, 10) and (5,7)(5, 7).\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)=(3,10)(x_1, y_1) = (3, 10)\newlinePoint 22: (x2,y2)=(5,7)(x_2, y_2) = (5, 7)\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 values from Step 11 into this formula.
  3. Calculate Slope: Calculate the slope using the coordinates from Step 11 and the formula from Step 22.\newlinem=71053m = \frac{7 - 10}{5 - 3}\newlinem=32m = \frac{-3}{2}\newlineThe slope of the line is 32-\frac{3}{2}.

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