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Find the slope of the line that passes through (6,6)(6, 6) and (9,10)(9, 10).\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 (6,6)(6, 6) and (9,10)(9, 10).\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: (6,6)(6, 6)\newlinePoint 22: (9,10)(9, 10)\newlineWe will use these coordinates to calculate the slope of the line.
  2. Recall Slope Formula: Recall the formula for slope mm when given two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2). The formula is m=y2y1x2x1m = \frac{y_2 - y_1}{x_2 - x_1}.
  3. Substitute Coordinates: Substitute the coordinates of the two points into the slope formula.\newlineUsing Point 11 (6,6)(6, 6) as (x1,y1)(x_1, y_1) and Point 22 (9,10)(9, 10) as (x2,y2)(x_2, y_2), we get:\newlinem=10696m = \frac{10 - 6}{9 - 6}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator.\newlinem=10696m = \frac{10 - 6}{9 - 6}\newlinem=43m = \frac{4}{3}
  5. Simplify Fraction: Simplify the fraction if necessary.\newlineThe fraction 43\frac{4}{3} is already in its simplest form, so no further simplification is needed.

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