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Find the slope of the line that passes through (6,7)(6, 7) and (10,6)(10, 6). \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 (6,7)(6, 7) and (10,6)(10, 6). \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.\newlineWe have point A with coordinates (6,7)(6, 7) and point B with coordinates (10,6)(10, 6).
  2. Use Slope Formula: Use the slope formula.\newlineThe slope mm of the line passing through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}.
  3. Plug in Coordinates: Plug in the coordinates into the slope formula.\newlineUsing the coordinates of point A (6,7)(6, 7) and point B (10,6)(10, 6), we get m=6−710−6m = \frac{6 - 7}{10 - 6}.
  4. Simplify Expression: Simplify the expression. m=(−1)/(4)=−14m = (-1) / (4) = -\frac{1}{4}.

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