Question

What is an equation that represents a line with a slope of -1/2 and crosses through the point (2,-3)

Answer 1

y + 3 = -1/2(x - 2)

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Point-Slope Form: y - y₁ = m(x - x₁)

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

Explanation:

Step 1: Define

Identify

Point (2, -3)

Slope m = -1/2

Step 2: Find Equation

1. Substitute in variables [Point-Slope Form]: y - -3 = -1/2(x - 2)
2. Simplify: y + 3 = -1/2(x - 2)