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Find the slope of the line that passes through (7,3)(7, 3) and (10,2)(10, 2).\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 (7,3)(7, 3) and (10,2)(10, 2).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____
  1. Identify Coordinates: To find the slope of a line that passes through two points, we use the formula for slope mm, which is the change in yy divided by the change in xx, or y2y1x2x1\frac{y_2 - y_1}{x_2 - x_1}, where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are the coordinates of the two points.
  2. Substitute Values: Let's identify the coordinates of the two points. The first point is (7,3)(7, 3), so x1=7x_1 = 7 and y1=3y_1 = 3. The second point is (10,2)(10, 2), so x2=10x_2 = 10 and y2=2y_2 = 2.
  3. Perform Subtraction: Now we can substitute these values into the slope formula: m=y2y1x2x1=23107m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 3}{10 - 7}.
  4. Calculate Slope: Perform the subtraction in the numerator and the denominator: m=13m = \frac{-1}{3}.
  5. Final Result: The slope of the line is 13-\frac{1}{3}, which is already in its simplest form as a proper fraction.

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