Question

Write the equation of the line in slope-intercept form that has a slope of -2 and passes through (3, 3)

Answer 1

y = -2x + 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

Algebra I

Slope-Intercept Form: y = mx + b

• m - slope
• b - y-intercept

Explanation:

Step 1: Define

Slope m = -2

Point (3, 3)

Step 2: Find equation

1. Substitute in slope [Form]: y = -2x + b
2. Substitute in point: 3 = -2(3) + b
3. Multiply: 3 = -6 + b
4. Isolate b: 9 = b
5. Write equation: y = -2x + 9