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Find the slope of the line that passes through (4,2)(4, 2) and (6,5)(6, 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 (4,2)(4, 2) and (6,5)(6, 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)=(4,2)(x_1, y_1) = (4, 2)\newlinePoint 22: (x2,y2)=(6,5)(x_2, y_2) = (6, 5)
  2. Recall Slope Formula: Recall the formula for the slope ( extit{m}) of a line passing through two points (x1,y1) (x_1, y_1) and (x2,y2) (x_2, y_2) . The formula is m=y2y1x2x1 m = \frac{y_2 - y_1}{x_2 - x_1} .
  3. Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. \newlinem=5264m = \frac{5 - 2}{6 - 4}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator. m=32m = \frac{3}{2}

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