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Find the slope of the line y+13=56(x+5)y + 13 = \frac{5}{6}(x + 5). 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+13=56(x+5)y + 13 = \frac{5}{6}(x + 5). 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+13=56(x+5)y + 13 = \frac{5}{6}(x + 5) 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.\newlineBy comparing y+13=56(x+5)y + 13 = \frac{5}{6}(x + 5) 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+5)(x + 5), which is 56\frac{5}{6}.
  3. Write Down Slope: Write down the slope.\newlineThe slope of the line is 56\frac{5}{6}.

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