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There is a line that includes the point (1,10)(-1,-10) and has a slope of 9-9. 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.\newlineyy - ______= = ______(x(x - ______))

Full solution

Q. There is a line that includes the point (1,10)(-1,-10) and has a slope of 9-9. 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.\newlineyy - ______= = ______(x(x - ______))
  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 (1,10)(-1, -10) and the slope 9-9. Substituting these values into the point-slope form, we get:\newliney(10)=9(x(1))y - (-10) = -9(x - (-1))
  3. Simplify the Equation: Simplify the equation.\newlineSimplifying the equation, we remove the parentheses:\newliney+10=9(x+1)y + 10 = -9(x + 1)
  4. Write Final Equation: Write the final equation in point-slope form.\newlineThe final equation in point-slope form is:\newliney+10=9(x+1)y + 10 = -9(x + 1)

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