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Find the slope of the line that passes through (6,9)(6, 9) and (2,2)(2, 2).\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 (6,9)(6, 9) and (2,2)(2, 2).\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)=(6,9)(x_1, y_1) = (6, 9)\newlinePoint 22: (x2,y2)=(2,2)(x_2, y_2) = (2, 2)\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=2926m = \frac{2 - 9}{2 - 6}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator. m=74m = \frac{-7}{-4}
  5. Simplify Fraction: Simplify the fraction.\newlineSince both the numerator and the denominator are negative, the slope is positive.\newlinem=74m = \frac{7}{4}

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