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A line that includes the point (2,1)(2,1) has a slope of 13-\frac{1}{3}. 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})

Full solution

Q. A line that includes the point (2,1)(2,1) has a slope of 13-\frac{1}{3}. 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: yy1=m(xx1)y - y_1 = m(x - x_1)
  2. Given Point and Slope: We have:\newlinePoint: (2,1)(2, 1)\newlineSlope: 13-\frac{1}{3}\newlineWhat is the point-slope form of the line?\newlineSubstitute 13-\frac{1}{3} for mm, 22 for x1x_1, and 11 for y1y_1 in point-slope form.\newliney1=(13)(x2)y - 1 = \left(-\frac{1}{3}\right)(x - 2)

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