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Find the slope of the line that passes through (9,6)(9, 6) and (2,9)(2, 9).\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 (9,6)(9, 6) and (2,9)(2, 9).\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)=(9,6)(x_1, y_1) = (9, 6)\newlinePoint 22: (x2,y2)=(2,9)(x_2, y_2) = (2, 9)\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 Step 11 into this formula.
  3. Substitute Coordinates: Substitute the coordinates into the slope formula. m=9629m = \frac{9 - 6}{2 - 9}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator.\newlinem=3(7)m = \frac{3}{(-7)}
  5. Simplify Fraction: Simplify the fraction if possible.\newlineThe fraction 3(7)\frac{3}{(-7)} is already in simplest form, so this is the slope of the line.

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