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A line that includes the point (2,1)(-2,-1) has a slope of 33. 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. A line that includes the point (2,1)(-2,-1) has a slope of 33. 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 (2,1)(-2, -1) and the slope 33. Substituting these values into the point-slope form, we get y(1)=3(x(2))y - (-1) = 3(x - (-2)).
  3. Simplify Equation: Simplify the equation.\newlineSimplifying the equation, we get y+1=3(x+2)y + 1 = 3(x + 2). This is the equation of the line in point-slope form.

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