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Find the slope of the line that passes through (5,4)(5, 4) and (2,3)(2, 3).\newlineWrite your answer in its simplest form.

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Q. Find the slope of the line that passes through (5,4)(5, 4) and (2,3)(2, 3).\newlineWrite your answer in its simplest form.
  1. Identify Coordinates: Identify the coordinates of the two points.\newlinePoint 11: (5,4)(5, 4)\newlinePoint 22: (2,3)(2, 3)
  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.\newlinem=3425m = \frac{3 - 4}{2 - 5}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator. m=13m = \frac{-1}{-3}
  5. Simplify Fraction: Simplify the fraction. m=13m = \frac{1}{3}

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