Answer :
Answer:
y = 6x - 9
General Formulas and Concepts:
Pre-Algebra
- Order of Operations: BPEMDAS
Algebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
Step 1: Define
Point (4, 15)
Point (-1, -15)
Step 2: Find slope m
- Substitute: [tex]m=\frac{-15-15}{-1-4}[/tex]
- Subtract: [tex]m=\frac{-30}{-5}[/tex]
- Divide: [tex]m=6[/tex]
Step 3: Find y-intercept b
- Define: y = 6x + b
- Substitute: -15 = 6(-1) + b
- Multiply: -15 = -6 + b
- Isolate b: -9 = b
- Rewrite: b = -9
Step 4: Write linear equation
Substitute in all variables.
y = 6x - 9
And we have our answer!