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Find the slope of the line that passes through (10,1)(10, 1) and (4,8)(4, 8).\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 (10,1)(10, 1) and (4,8)(4, 8).\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)=(10,1)(x_1, y_1) = (10, 1)\newlinePoint 22: (x2,y2)=(4,8)(x_2, y_2) = (4, 8)\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 our points into this formula.
  3. Substitute Coordinates: Substitute the coordinates into the slope formula. m=81410m = \frac{8 - 1}{4 - 10}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator.\newlinem=7(6)m = \frac{7}{(-6)}
  5. Simplify Fraction: Simplify the fraction if possible.\newlineThe fraction 7/(6)7 / (-6) is already in simplest form, so we do not need to simplify further.

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