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A line has a slope of 6-6 and passes through the point (7,10)(-7,-10). 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 has a slope of 6-6 and passes through the point (7,10)(-7,-10). 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 Slope and Point: Substitute the given slope and point into the point-slope form.\newlineWe are given the slope m=6m = -6 and the point (7,10)(-7, -10). Substituting these values into the point-slope form, we get y(10)=6(x(7))y - (-10) = -6(x - (-7)).
  3. Simplify Equation: Simplify the equation.\newlineSimplifying the equation, we get y+10=6(x+7)y + 10 = -6(x + 7). This is the equation of the line in point-slope form.

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