Answer:
![\displaystyle m=(-2)/(3)](https://img.qammunity.org/2022/formulas/mathematics/college/y45q5aa3mcvvllqfw2yrcoru0qasa96xnw.png)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra I
- Reading a Cartesian plane
- 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
Find points from graph.
Point (3, 1)
Point (0, 3)
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=(3-1)/(0-3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/xxr8qxkdnmy79fbuhg96y5r8qoxj73dcxv.png)
- [Fraction] Subtract:
![\displaystyle m=(2)/(-3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/riq0qzzo4fz72igr0wpj9znx4x7kwn3sgl.png)
- [Fraction] Rewrite:
![\displaystyle m=(-2)/(3)](https://img.qammunity.org/2022/formulas/mathematics/college/y45q5aa3mcvvllqfw2yrcoru0qasa96xnw.png)