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33 votes
What is an equation of the line that passes through the point (4, −1) and has
slope −5?

User ChosenOne Thabs
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1 Answer

12 votes
12 votes

Answer:

y + 1 = -5(x - 4)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

Explanation:

Step 1: Define

Identify variables.

Point (4, -1) → x₁ = 4, y₁ = -1

Slope m = -5

Step 2: Find Equation

  1. Substitute in variables [Point-Slope Form]: y - -1 = -5(x - 4)
  2. Simplify: y + 1 = -5(x - 4)
User Anjani Barnwal
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