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A line that includes the point (8,−3)(8,-3) has a slope of −110-\frac{1}{10}. 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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Point-slope form: write an equationright chevron icon

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Q. A line that includes the point (8,−3)(8,-3) has a slope of −110-\frac{1}{10}. 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 Values: Substitute the given point and slope into the point-slope form.\newlineWe are given the point (8,−3)(8, -3) and the slope −110-\frac{1}{10}. Substituting these values into the point-slope form, we get y−(−3)=(−110)(x−8)y - (-3) = (-\frac{1}{10})(x - 8).
  3. Simplify Equation: Simplify the equation.\newlineSimplifying the left side of the equation by removing the parentheses around −3-3, we get y+3=(−110)(x−8)y + 3 = \left(-\frac{1}{10}\right)(x - 8).

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