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What is the slope of the line that passes
through the points (-3,-2) and (2,-4)?

Sagot :

Spaceidn

Answer:

[tex]\displaystyle m = \frac{-2}{5}[/tex]

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

Coordinate Planes

  • Coordinates (x, y)

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (-3, -2)

Point (2, -4)

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]:                                                              [tex]\displaystyle m = \frac{-4 + 2}{2 + 3}[/tex]
  2. Simplify:                                                                                                            [tex]\displaystyle m = \frac{-2}{5}[/tex]
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