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There is a line that includes the point (4,3)(4,-3) and has a slope of 22. 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 (4,3)(4,-3) and has a slope of 22. 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 (4,3)(4, -3) and the slope 22. Substituting these values into the point-slope form, we get y(3)=2(x4)y - (-3) = 2(x - 4).
  3. Simplify Equation: Simplify the equation.\newlineSimplifying the left side of the equation by removing the parentheses, we get y+3=2(x4)y + 3 = 2(x - 4). This is the equation of the line in point-slope form.

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