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A line that includes the point (9,−5)(9,-5) has a slope of 19\frac{1}{9}. 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−‾=‾(x−‾)y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})

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Q. A line that includes the point (9,−5)(9,-5) has a slope of 19\frac{1}{9}. 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−‾=‾(x−‾)y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})
  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 (9,−5)(9, -5) and the slope 19\frac{1}{9}. Substituting these values into the point-slope form, we get y−(−5)=(19)(x−9)y - (-5) = \left(\frac{1}{9}\right)(x - 9).
  3. Simplify Equation: Simplify the equation.\newlineSimplifying the left side of the equation by removing the parentheses around −5-5, we get y+5=(19)(x−9)y + 5 = \left(\frac{1}{9}\right)(x - 9).

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