Question

What is the gradient of a line with an equation of 3x-2y-6=0​

Answer 1

Slope m = 3/2

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Algebra I

Slope-Intercept Form: y = mx + b

• m - slope
• b - y-intercept

Explanation:

Step 1: Define Equation

3x - 2y - 6 = 0

Step 2: Rewrite

Find slope-intercept form

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

Step 3: Break Function

Identify Parts.

Slope m = 3/2

y-intercept b = -3