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A line that includes the point (−9,−6)(-9,-6) has a slope of −5-5. 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,−6)(-9,-6) has a slope of −5-5. 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.\newlinePoint-slope form: y−y1=m(x−x1)y - y_1 = m(x - x_1)
  2. Substitute Values: We have:\newlinePoint: (−9,−6)(-9, -6)\newlineSlope: −5-5\newlineWhat is the point-slope form of the line?\newlineSubstitute −5-5 for mm, −9-9 for x1x_1, and −6-6 for y1y_1 in the point-slope form.\newliney−(−6)=−5(x−(−9))y - (-6) = -5(x - (-9))
  3. Simplify Equation: Simplify the equation. y+6=−5(x+9)y + 6 = -5(x + 9)

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