Question

Convert from Standard Form to Slope Intercept Form
3x + 2y = 6

Answer 1

y = -3/2x + 3

General Formulas and Concepts:

Algebra I

Equality Properties

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

• m - slope

• b - y-intercept

Explanation:

Step 1: Define

Standard Form: 3x + 2y = 6

Step 2: Find slope-intercept form

1. Subtract 3x on both sides: 2y = 6 - 3x
2. Divide both sides by 2: y = 3 - 3/2x
3. Rewrite: y = -3/2x + 3

And we have our final answer!