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Find the slope of the line that passes through (9,6)(9, 6) and (2,5)(2, 5).\newlineSimplify your answer and write it as a proper fraction, improper fraction, or integer.\newline_____

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Full solution

Q. Find the slope of the line that passes through (9,6)(9, 6) and (2,5)(2, 5).\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: (9,6)(9, 6)\newlinePoint 22: (2,5)(2, 5)
  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=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}
  3. Substitute Coordinates: Substitute the coordinates of the two points into the slope formula. m=5−62−9m = \frac{5 - 6}{2 - 9}
  4. Perform Subtraction: Perform the subtraction in the numerator and the denominator. m=−1−7m = \frac{-1}{-7}
  5. Simplify Fraction: Simplify the fraction. m=17m = \frac{1}{7}

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