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Find the slope of the line y+4=12(x+13)y + 4 = \frac{1}{2}(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+4=12(x+13)y + 4 = \frac{1}{2}(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+4=12(x+13)y + 4 = \frac{1}{2}(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 Form: Compare the given equation with the point-slope form. The given equation y+4=12(x+13)y + 4 = \frac{1}{2}(x + 13) can be compared to the point-slope form y−y1=m(x−x1)y - y_1 = m(x - x_1) to identify the slope mm.
  3. Identify Slope: Identify the slope from the equation.\newlineBy comparing, we can see that the slope mm is the coefficient of (x+13)(x + 13), which is 12\frac{1}{2}. Therefore, the slope of the line is 12\frac{1}{2}.

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