Question

Find the slope of the graph below



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Answer 1

`\displaystyle m=(-2)/(3)`

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Coordinates (x, y)
• Reading a Cartesian plane
• Slope Formula:
  `\displaystyle m=(y_2-y_1)/(x_2-x_1)`

Explanation:

Step 1: Define

Find points from graph

Point (-3, 1)

Point (3, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

1. Substitute in points [Slope Formula]:
   `\displaystyle m=(-3-1)/(3+3)`
2. [Fraction] Subtract/Add:
   `\displaystyle m=(-4)/(6)`
3. [Fraction] Simplify:
   `\displaystyle m=(-2)/(3)`