Answer:
![\displaystyle m=(1)/(4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/kqcnw0e0fd1vcgwv9ihil4vto9lowjasg6.png)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra I
- Coordinates (x, y)
- Slope Formula:
![\displaystyle m=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2022/formulas/mathematics/high-school/plhrgiu7wq19mt7p36lnp6s5da883uxskw.png)
Explanation:
Step 1: Define
Point (80, 20)
Point (120, 30)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
- Substitute in points [Slope Formula]:
![\displaystyle m=(30-20)/(120-80)](https://img.qammunity.org/2022/formulas/mathematics/high-school/rh5sqtq7xhxyub1tt1r43b52s6scq17sv3.png)
- [Slope] Subtract:
![\displaystyle m=(10)/(40)](https://img.qammunity.org/2022/formulas/mathematics/high-school/asva0zvh3h3dj6ar973qmsd7ytqapkbld2.png)
- [Slope] Simplify:
![\displaystyle m=(1)/(4)](https://img.qammunity.org/2022/formulas/mathematics/high-school/kqcnw0e0fd1vcgwv9ihil4vto9lowjasg6.png)