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A line with a slope of −2-2 passes through the point (7,−3)(7,-3). 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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Q. A line with a slope of −2-2 passes through the point (7,−3)(7,-3). 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=−2m = -2 and the point (7,−3)(7, -3). Substituting these values into the point-slope form, we get y−(−3)=−2(x−7)y - (-3) = -2(x - 7).
  3. Simplify Equation: Simplify the equation.\newlineSimplifying the left side of the equation by removing the parentheses, we get y+3=−2(x−7)y + 3 = -2(x - 7). This is the equation of the line in point-slope form.

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