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Find the slope of the line that passes through (2,10)(2, 10) and (4,5)(4, 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 (2,10)(2, 10) and (4,5)(4, 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)=(2,10)(x_1, y_1) = (2, 10)\newlinePoint 22: (x2,y2)=(4,5)(x_2, y_2) = (4, 5)
  2. Recall Slope Formula: Recall the formula for the slope mm of a line passing through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by:\newlinem=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}
  3. Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. m=51042m = \frac{5 - 10}{4 - 2}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator.\newlinem=52m = \frac{-5}{2}
  5. Simplify Fraction: Simplify the fraction if possible.\newlineThe fraction 52-\frac{5}{2} is already in simplest form.

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