Answer:
y = 10.5x - 37
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
Algebra I
Equality Properties
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
Step 1: Define
Point (-4, 47)
Point (2, -16)
Step 2: Find slope m
- Substitute: [tex]m=\frac{-16-47}{2+4}[/tex]
- Subtract/Add: [tex]m=\frac{63}{6}[/tex]
- Simplify: [tex]m=\frac{21}{2}[/tex]
Step 3: Find y-intercept b
- Define: y = 21/2x + b
- Substitute: -16 = 21/2(2) + b
- Multiply: -16 = 21 + b
- Isolate b: -37 = b
- Rewrite: b = -37
Step 4: Write linear equation
Combine all parts.
y = 21/2x - 37
y = 10.5x - 37
And we have our final answer!
