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Find the slope of the line that passes through (1,4)(1, 4) and (3,1)(3, 1).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____

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Full solution

Q. Find the slope of the line that passes through (1,4)(1, 4) and (3,1)(3, 1).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____
  1. Identify coordinates: Step 11: Identify the coordinates of the points through which the line passes. We have points (1,4)(1, 4) and (3,1)(3, 1).
  2. Use slope formula: Step 22: Use the slope formula, which is (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1). Here, y2=1y_2 = 1, y1=4y_1 = 4, x2=3x_2 = 3, and x1=1x_1 = 1.
  3. Plug in values: Step 33: Plug in the values into the slope formula. So, slope = (1−4)/(3−1)=−3/2(1 - 4) / (3 - 1) = -3 / 2.

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