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A line that includes the point (4,−6)(4,-6) has a slope of −15-\frac{1}{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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Q. A line that includes the point (4,−6)(4,-6) has a slope of −15-\frac{1}{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. Given Point and Slope: We have:\newlinePoint: (4,−6)(4, -6)\newlineSlope: −15-\frac{1}{5}\newlineWhat is the point-slope form of the line?\newlineSubstitute −15-\frac{1}{5} for mm, 44 for x1x_1, and −6-6 for y1y_1 in point-slope form.\newliney−(−6)=(−15)(x−4)y - (-6) = (-\frac{1}{5})(x - 4)
  3. Substitute Values: Simplify the equation by removing the parentheses around −6-6.\newliney+6=(−15)(x−4)y + 6 = \left(-\frac{1}{5}\right)(x - 4)

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