Question

Find the equation of the line with slope 3/7 and that passes through the point (14, 0). Write your answer in the form y = mx + b.

Answer 1

y = 3/7x - 6

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS
• Equality Properties

Algebra I

Slope-Intercept Form: y = mx + b

• m - slope

• b - y-intercept

Explanation:

Step 1: Define

Slope m = 3/7

Point (14, 0)

Step 2: Find y-intercept b

1. Substitute: 0 = 3/7(14) + b
2. Multiply: 0 = 6 + b
3. Isolate b: -6 = b
4. Rewrite: b = -6

Step 3: Write linear equation

y = 3/7x - 6