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Find the slope of the line that passes through (1,6)(1, 6) and (3,3)(3, 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 (1,6)(1, 6) and (3,3)(3, 3).\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: (x1,y1)=(1,6)(x_1, y_1) = (1, 6)\newlinePoint 22: (x2,y2)=(3,3)(x_2, y_2) = (3, 3)\newlineWe will use these coordinates to calculate the slope of the line.
  2. Recall Slope Formula: Recall the formula for the slope mm of a line given two points: m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}. We will plug in the coordinates of our two points into this formula.
  3. Substitute Coordinates: Substitute the coordinates into the slope formula.\newlinem=3631m = \frac{3 - 6}{3 - 1}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator. m=32m = \frac{-3}{2}
  5. Simplify Fraction: Simplify the fraction if possible.\newlineThe fraction 32-\frac{3}{2} is already in simplest form, so we do not need to simplify further.

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