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Find the slope of the line y−13=15(x+15)y - 13 = 15(x + 15).\newlineWrite 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=15(x+15)y - 13 = 15(x + 15).\newlineWrite 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=15(x+15)y - 13 = 15(x + 15) 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=15(x+15)y - 13 = 15(x + 15) with y−y1=m(x−x1)y - y_1 = m(x - x_1), we can see that the coefficient of (x+15)(x + 15) is the slope of the line.
  3. Identify Slope: Identify the slope.\newlineThe slope of the line is the coefficient of the xx term in the equation, which is 1515. Therefore, the slope of the line is 1515.

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