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A line with a slope of −5-5 passes through the point (1,6)(1,6). 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

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Q. A line with a slope of −5-5 passes through the point (1,6)(1,6). 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 Given Values: Substitute the given slope and point into the point-slope form.\newlineWe are given the slope m=−5m = -5 and the point (1,6)(1, 6). Substituting these values into the point-slope form, we get y−6=−5(x−1)y - 6 = -5(x - 1).

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