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There is a line that includes the point (−5,1)(-5,1) and has a slope of 44. 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. There is a line that includes the point (−5,1)(-5,1) and has a slope of 44. 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 Point and Slope: Substitute the given point and slope into the point-slope form.\newlineWe are given the point (−5,1)(-5, 1) and the slope 44. Substituting these values into the point-slope form, we get y−1=4(x−(−5))y - 1 = 4(x - (-5)).
  3. Simplify the Equation: Simplify the equation.\newlineSimplify the equation by removing the parentheses and rewriting the equation as y−1=4(x+5)y - 1 = 4(x + 5).

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