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A line with a slope of −3-3 passes through the point (−6,9)(-6,9). What is its equation in point-slope form?\newlineUse the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.\newliney−y - ______= = ______(x−(x - ______))

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Q. A line with a slope of −3-3 passes through the point (−6,9)(-6,9). What is its equation in point-slope form?\newlineUse the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.\newliney−y - ______= = ______(x−(x - ______))
  1. Identify Point-Slope Form: Identify the point-slope form of a linear equation.\newlineThe point-slope form of a linear equation is given by the formula:\newliney−y1=m(x−x1)y - y_1 = m(x - x_1)\newlinewhere mm is the slope of the line and (x1,y1)(x_1, y_1) is a point on the line.
  2. Substitute Slope and Point: Substitute the given slope and point into the point-slope form.\newlineWe are given the slope m=−3m = -3 and the point (x1,y1)=(−6,9)(x_1, y_1) = (-6, 9).\newlineSubstitute these values into the point-slope form:\newliney−9=−3(x−(−6))y - 9 = -3(x - (-6))
  3. Simplify Equation: Simplify the equation.\newliney−9=−3(x+6)y - 9 = -3(x + 6)\newlineThis is the equation of the line in point-slope form.

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