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A line that includes the point (−9,5)(-9,5) has a slope of −3-3. 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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Full solution

Q. A line that includes the point (−9,5)(-9,5) has a slope of −3-3. 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 y−y1=m(x−x1)y - y_1 = m(x - x_1), where mm is the slope of the line and (x1,y1)(x_1, y_1) is a point on the line.
  2. Substitute Point and Slope: Substitute the given point and slope into the point-slope form. We are given the point (−9,5)(-9, 5) and the slope −3-3. Substituting these values into the point-slope form, we get y−5=−3(x−(−9))y - 5 = -3(x - (-9)).
  3. Simplify Equation: Simplify the equation.\newlineSimplify the equation by distributing the slope −3-3 across the parentheses: y−5=−3(x+9)y - 5 = -3(x + 9).

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