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Find the slope of the line that passes through (3,2)(3, 2) and (10,10)(10, 10).\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 (3,2)(3, 2) and (10,10)(10, 10).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____
  1. Slope Formula: To find the slope of the line that passes through two points, we use the slope formula: slope m=y2y1x2x1m = \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 Points: Substitute the given points into the slope formula. Let (3,2)(3, 2) be (x1,y1)(x_1, y_1) and (10,10)(10, 10) be (x2,y2)(x_2, y_2). So, m=102103m = \frac{10 - 2}{10 - 3}.
  3. Calculate Differences: Calculate the differences: 102=810 - 2 = 8 and 103=710 - 3 = 7.
  4. Divide Differences: Now, divide the differences to find the slope: m=87m = \frac{8}{7}.
  5. Final Slope: The slope of the line is 87\frac{8}{7}, which is an improper fraction and does not need to be simplified further.

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