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A line has a slope of 55 and passes through the point (1,−1)(1,-1). 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−_____=_____(x−_____)y - \_\_\_\_\_ = \_\_\_\_\_(x - \_\_\_\_\_)

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Q. A line has a slope of 55 and passes through the point (1,−1)(1,-1). 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−_____=_____(x−_____)y - \_\_\_\_\_ = \_\_\_\_\_(x - \_\_\_\_\_)
  1. Identify Point-Slope Form: Identify the point-slope form of a linear equation.\newlinePoint-slope form: y−y1=m(x−x1)y - y_1 = m(x - x_1)
  2. Substitute Values: We have:\newlinePoint: (1,−1)(1, -1)\newlineSlope: 55\newlineWhat is the point-slope form of the line?\newlineSubstitute 55 for mm, 11 for x1x_1, and −1-1 for y1y_1 in point-slope form.\newliney−(−1)=5(x−1)y - (-1) = 5(x - 1)
  3. Simplify Equation: Simplify the equation. y+1=5(x−1)y + 1 = 5(x - 1)
  4. Final Point-Slope Form: Write the final equation in point-slope form.\newliney+1=5(x−1)y + 1 = 5(x - 1)

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