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Find the slope of the line y+6=16(x+12)y + 6 = \frac{1}{6}(x + 12). 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+6=16(x+12)y + 6 = \frac{1}{6}(x + 12). Write your answer as an integer or as a simplified proper or improper fraction.
  1. Identify form of equation: Identify the form of the equation.\newlineThe equation y+6=16(x+12)y + 6 = \frac{1}{6}(x + 12) 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+6=16(x+12)y + 6 = \frac{1}{6}(x + 12) can be compared to the point-slope form y−y1=m(x−x1)y - y_1 = m(x - x_1) to identify the slope.
  3. Identify the slope: Identify the slope.\newlineBy comparing the given equation with the point-slope form, we can see that the slope mm is the coefficient of (x+12)(x + 12), which is 16\frac{1}{6}.

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