Respuesta :

Answer:

-1/2

Step-by-step explanation:

Pick two points on the line

(-2,3) and (2,1)

Using the slope formula

m = (y2-y1)/(x2-x1)

   = (1-3)/(2 - -2)

   = (1-3)/(2+2)

    = -2/4

   = -1/2

Space

Answer:

[tex]\displaystyle m = \frac{-1}{2}[/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

  • Reading a coordinate plane
  • Coordinate (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 points from graph

Point (0, 2)

Point (4, 0)

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{0-2}{4-0}[/tex]
  2. [Fraction] Subtract:                                                                                           [tex]\displaystyle m = \frac{-2}{4}[/tex]
  3. [Fraction] Simplify:                                                                                            [tex]\displaystyle m = \frac{-1}{2}[/tex]