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A line that includes the point (−1,4)(-1,4) 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 (−1,4)(-1,4) 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.\newlinePoint-slope form: y−y1=m(x−x1)y - y_1 = m(x - x_1)
  2. Substitute Values: We have:\newlinePoint: (−1,4)(-1, 4)\newlineSlope: 19\frac{1}{9}\newlineWhat is the point-slope form of the line?\newlineSubstitute 19\frac{1}{9} for mm, −1-1 for x1x_1, and 44 for y1y_1 in the point-slope form.\newliney−4=(19)(x−(−1))y - 4 = \left(\frac{1}{9}\right)(x - (-1))
  3. Simplify Equation: Simplify the equation by distributing the slope and removing the double negative in x−(−1)x - (-1):y−4=(19)(x+1)y - 4 = \left(\frac{1}{9}\right)(x + 1)

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