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Find the slope of the line that passes through (5,1)(5, 1) and (8,5)(8, 5).\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 (5,1)(5, 1) and (8,5)(8, 5).\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)=(5,1)(x_1, y_1) = (5, 1)\newlinePoint 22: (x2,y2)=(8,5)(x_2, y_2) = (8, 5)\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 values from Step 11 into this formula.
  3. Calculate Slope: Calculate the slope using the coordinates from Step 11.\newlinem=5185=43m = \frac{5 - 1}{8 - 5} = \frac{4}{3}\newlineThe slope of the line is 43\frac{4}{3}.

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