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Find the slope of the line that passes through (1,11)(1, 11) and (3,2)(3, 2).\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 (1,11)(1, 11) and (3,2)(3, 2).\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)=(1,11)(x_1, y_1) = (1, 11)\newlinePoint 22: (x2,y2)=(3,2)(x_2, y_2) = (3, 2)\newlineWe will use these coordinates to calculate the slope of the line.
  2. Calculate 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 values from Step 11 into this formula.
  3. Substitute Coordinates: Substitute the coordinates into the slope formula.\newlinem=21131m = \frac{2 - 11}{3 - 1}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator. m=92m = \frac{-9}{2}
  5. Simplify Fraction: Simplify the fraction if possible.\newlineThe fraction 92-\frac{9}{2} is already in simplest form, so this is our slope.

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