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There is a line that includes the point (5,8)(5,8) and has a slope of 66. 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. There is a line that includes the point (5,8)(5,8) and has a slope of 66. 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 yy1=m(xx1)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 Point and Slope: Substitute the given point and slope into the point-slope form.\newlineWe are given the point (5,8)(5,8) and the slope 66. We will substitute 66 for mm, 55 for x1x_1, and 88 for y1y_1 in the point-slope form equation.\newlineSo, the equation becomes y8=6(x5)y - 8 = 6(x - 5).

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