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A line with a slope of 7-7 passes through the point (1,7)(1,7). 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 with a slope of 7-7 passes through the point (1,7)(1,7). 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=7m = -7 and the point (1,7)(1, 7). Substituting these values into the point-slope form, we get y7=7(x1)y - 7 = -7(x - 1).
  3. Check for Simplification: Check for any simplification needed.\newlineIn this case, no simplification is needed because the equation is already in the correct form and there are no fractions to simplify.

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