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Find the slope of the line that passes through (3,11)(3, 11) and (8,3)(8, 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 (3,11)(3, 11) and (8,3)(8, 3).\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. Plug in Coordinates: Let's plug in the coordinates of the two points into the slope formula. For the points (3,11)(3, 11) and (8,3)(8, 3), we have x1=3x_1 = 3, y1=11y_1 = 11, x2=8x_2 = 8, and y2=3y_2 = 3. So, m=31183m = \frac{3 - 11}{8 - 3}.
  3. Perform Subtraction: Now, let's perform the subtraction in the numerator and the denominator. m=85m = \frac{-8}{5}.
  4. Final Slope Calculation: The slope of the line is 85-\frac{8}{5}, which is an improper fraction and can be left as is because the problem asks for a proper fraction, improper fraction, or integer.

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