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Find the slope of the line that passes through (7,9)(7, 9) and (3,12)(3, 12).\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 (7,9)(7, 9) and (3,12)(3, 12).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____
  1. Slope Formula: To find the slope of the line that passes through two points, we use the slope formula, which is (y2y1)/(x2x1)(y_2 - y_1) / (x_2 - x_1), where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are the coordinates of the two points.\newlineLet's plug in the coordinates of the points (7,9)(7, 9) as (x1,y1)(x_1, y_1) and (3,12)(3, 12) as (x2,y2)(x_2, y_2) into the slope formula.\newlineSlope = (129)/(37)(12 - 9) / (3 - 7)
  2. Plug in Coordinates: Now, let's perform the subtraction in the numerator and the denominator.\newlineSlope = (129)/(37)=3/4(12 - 9) / (3 - 7) = 3 / -4
  3. Perform Subtraction: The slope of the line is 34-\frac{3}{4}, which is already in its simplest form as a proper fraction.

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