Answer:
![\displaystyle m=0.5](https://img.qammunity.org/2022/formulas/mathematics/high-school/pyiqk26107w0k5ylztv9vjiahdlvgb3czl.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 (7, 9.5)
Point (2, 7)
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=(7-9.5)/(2-7)](https://img.qammunity.org/2022/formulas/mathematics/high-school/7yf4msy8axj0qtdqy1f1l96x4a6m9dissf.png)
- [Fraction] Subtract:
![\displaystyle m=(-2.5)/(-5)](https://img.qammunity.org/2022/formulas/mathematics/high-school/24jwznfdk5inkzrs5w14o2nuo7s6tnxw5d.png)
- [Fraction] Divide:
![\displaystyle m=0.5](https://img.qammunity.org/2022/formulas/mathematics/high-school/pyiqk26107w0k5ylztv9vjiahdlvgb3czl.png)