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A line that includes the point (9,4)(9,4) 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=(x)y - \underline{\quad} = \underline{\quad}(x - \underline{\quad})

Full solution

Q. A line that includes the point (9,4)(9,4) 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=(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: (9,4)(9, 4)\newlineSlope: 110\frac{1}{10}\newlineWhat is the point-slope form of the line?\newlineSubstitute 110\frac{1}{10} for mm, 99 for x1x_1, and 44 for y1y_1 in point-slope form.\newliney4=(110)(x9)y - 4 = \left(\frac{1}{10}\right)(x - 9)

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