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A line with a slope of −4-4 passes through the point (4,−8)(4,-8). 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 −4-4 passes through the point (4,−8)(4,-8). 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 is given by the equation 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 Slope and Point: Substitute the given slope and point into the point-slope form.\newlineWe are given the slope m=−4m = -4 and the point (4,−8)(4, -8). Substituting these values into the point-slope form, we get y−(−8)=−4(x−4)y - (-8) = -4(x - 4).
  3. Simplify Equation: Simplify the equation.\newlineSimplifying the left side of the equation by removing the parentheses, we get y+8=−4(x−4)y + 8 = -4(x - 4). This is the equation of the line in point-slope form.

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