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There is a line that includes the point (−5,−8)(-5,-8) and 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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Q. There is a line that includes the point (−5,−8)(-5,-8) and 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.\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 Given Point and Slope: Substitute the given point and slope into the point-slope form.\newlineWe are given the point (−5,−8)(-5, -8) and the slope −5-5. Substituting these values into the point-slope form, we get y−(−8)=−5(x−(−5))y - (-8) = -5(x - (-5)).
  3. Simplify the Equation: Simplify the equation.\newlineSimplifying the equation, we get y+8=−5(x+5)y + 8 = -5(x + 5). This is the equation of the line in point-slope form.

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