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Find the slope of the line y+9=3(x−3)y + 9 = 3(x - 3).\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+9=3(x−3)y + 9 = 3(x - 3).\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+9=3(x−3)y + 9 = 3(x - 3) 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 Equation: Compare the given equation with the point-slope form.\newlineThe given equation y+9=3(x−3)y + 9 = 3(x - 3) 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. Determine Slope: Determine the slope of the line.\newlineBy comparing the given equation with the point-slope form, we can see that the coefficient of (x−3)(x - 3) is 33. Therefore, the slope mm of the line is 33.

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