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A line with a slope of −9-9 passes through the point (7,9)(7,9). 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.\newliney−y - ______= = ______(x−(x - ______))

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Point-slope form: write an equationright chevron icon

Full solution

Q. A line with a slope of −9-9 passes through the point (7,9)(7,9). 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.\newliney−y - ______= = ______(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 y−y1=m(x−x1)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=−9m = -9 and the point (7,9)(7, 9). Substituting these values into the point-slope form, we get y−9=−9(x−7)y - 9 = -9(x - 7).
  3. Check for Simplification: Check for any simplification needed. In this case, there is no simplification needed because the equation is already in the correct form.

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