Question

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

Answer 1

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)