Question

Write an equation for the line in the given form.

the slope is 4 and (−4, 5) is on the line; point-slope form

Answer 1

y - 5 = 4(x + 4)

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

Algebra I

Coordinate Planes

• Coordinates (x, y)

Point-Slope Form: y - y₁ = m(x - x₁)

• x₁ - x coordinate
• y₁ - y coordinate
• m - slope

Explanation:

Step 1: Define

Identify variables.

Point (-4, 5)

Slope m = 4

Step 2: Find Equation

1. Substitute in variables [Point-Slope Form]: y - 5 = 4(x - -4)
2. [Order of Operations] Simplify: y - 5 = 4(x + 4)