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Find the slope of the line y−8=−12(x−2)y - 8 = -\frac{1}{2}(x - 2). 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−8=−12(x−2)y - 8 = -\frac{1}{2}(x - 2). Write your answer as an integer or as a simplified proper or improper fraction.
  1. Identify Equation Form: Identify the form of the equation.\newlineThe equation y−8=−12(x−2)y - 8 = -\frac{1}{2}(x - 2) 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 Form: Compare the given equation with the point-slope form. By comparing y−8=−12(x−2)y - 8 = -\frac{1}{2}(x - 2) 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), which in this case is −12-\frac{1}{2}.
  3. Write Down Slope: Write down the slope.\newlineThe slope of the line is −12-\frac{1}{2}.

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