Respuesta :

Space

Answer:

y = -3x + 7

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

Equality Properties

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

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

Step 1: Define

Point (2, 1)

Point (5, -8)

Step 2: Find slope m

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

  1. Substitute [SF]:                    [tex]\displaystyle m=\frac{-8-1}{5-2}[/tex]
  2. Subtract:                              [tex]\displaystyle m=\frac{-9}{3}[/tex]
  3. Divide:                                 [tex]\displaystyle m=-3[/tex]

Step 3: Find y-intercept b

  1. Substitute in m [SIF]:                    y = -3x + b
  2. Substitute in point:                       1 = -3(2) + b
  3. Multiply:                                        1 = -6 + b
  4. Isolate b:                                       7 = b

Step 4: Write Equation

  1. Substitute in b [SIF]:                    y = -3x + 7

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