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A line that includes the point (2,10)(-2,10) has a slope of 99. 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 (2,10)(-2,10) has a slope of 99. 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 point and slope: Substitute the given point and slope into the point-slope form.\newlineWe are given the point (2,10)(-2, 10) and the slope 99. Substituting these values into the point-slope form, we get:\newliney10=9(x(2))y - 10 = 9(x - (-2))\newlineSimplifying the equation, we get:\newliney10=9(x+2)y - 10 = 9(x + 2)

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