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Find the slope of the line that passes through (5,6)(5, 6) 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 (5,6)(5, 6) and (3,1)(3, 1).\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: (5,6)(5, 6)\newlinePoint 22: (3,1)(3, 1)
  2. Use Slope Formula: Use the slope formula, which is (y2−y1)/(x2−x1)(y_2 - y_1) / (x_2 - x_1).\newlineSlope = (1−6)/(3−5)(1 - 6) / (3 - 5)
  3. Perform Subtraction: Perform the subtraction in the numerator and the denominator.\newlineSlope = −5−2\frac{-5}{-2}
  4. Simplify Fraction: Simplify the fraction.\newlineSlope = 52\frac{5}{2}

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