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Find the slope of the line y−1=45(x+4)y - 1 = \frac{4}{5}(x + 4). 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−1=45(x+4)y - 1 = \frac{4}{5}(x + 4). Write your answer as an integer or as a simplified proper or improper fraction.
  1. Identify Form: Identify the form of the linear equation.\newlineThe equation y−1=45(x+4)y - 1 = \frac{4}{5}(x + 4) 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. The given equation y−1=45(x+4)y - 1 = \frac{4}{5}(x + 4) 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 Slope: Identify the slope from the equation.\newlineBy comparing the given equation with the point-slope form, we can see that the slope mm is the coefficient of (x+4)(x + 4), which is 45\frac{4}{5}.

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