Answer:
Slope 1: [tex]m=0[/tex]
Slope 2: [tex]m=5[/tex]
Slope 2 is bigger than slope 1.
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]
Step-by-step explanation:
Step 1: Define
Slope 1
Point (-2, 3)
Point (1, 3)
Slope 2
Point (4, 21)
Point (9, 46)
Step 2: Find slope m
Slope 1
- Substitute: [tex]m=\frac{3-3}{1+2}[/tex]
- Subtract/Add: [tex]m=\frac{0}{3}[/tex]
- Divide: [tex]m=0[/tex]
Slope 2
- Substitute: [tex]m=\frac{46-21}{9-4}[/tex]
- Subtract: [tex]m=\frac{25}{5}[/tex]
- Divide: [tex]m=5[/tex]
We know that 5 is greater than 0. ∴ Slope 2 is bigger than slope 1.
