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Find the slope of the line y+14=−1112(x−13)y + 14 = -\frac{11}{12}(x - 13). Write your answer as an integer or as a simplified proper or improper fraction.

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Full solution

Q. Find the slope of the line y+14=−1112(x−13)y + 14 = -\frac{11}{12}(x - 13). Write your answer as an integer or as a simplified proper or improper fraction.
  1. Identify Form: Identify the form of the equation.\newlineThe equation y+14=−1112(x−13)y + 14 = -\frac{11}{12}(x - 13) is in the point-slope form, which is y−y1=m(x−x1)y - y_1 = m(x - x_1), where mm is the slope of the line.
  2. Compare with Point-Slope: Compare the given equation with the point-slope form.\newlineBy comparing y+14=−1112(x−13)y + 14 = -\frac{11}{12}(x - 13) with y−y1=m(x−x1)y - y_1 = m(x - x_1), we can see that the slope mm is the coefficient of (x−x1)(x - x_1).
  3. Identify Slope: Identify the slope.\newlineThe slope of the line is the coefficient of the xx term in the equation, which is −1112-\frac{11}{12}.

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