Question

What is the slope of the line represented by the equation 3x - 2y=5

Answer 1

m = 3/2

General Formulas and Concepts:

Pre-Alg

• Equality Properties

Alg I

Slope-Intercept Form: y = mx + b

• m - slope

• b - y-intercept

Explanation:

Step 1: Define function

3x - 2y = 5

Step 2: Rewrite

1. Subtract 3x on both sides: -2y = 5 - 3x
2. Divide -2 on both sides: y = -5/2 + 3/2x
3. Rewrite: y = 3/2x - 5/2

Step 3: Identify

Slope m = 3/2

y-intercept b = -5/2