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find the slope of the line that passes through the points (1,4) and (5,9). Simplify your answer completely, if possible.

Respuesta :

Space

Answer:

[tex]\displaystyle m=\frac{5}{4}[/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

  • 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

Point (1, 4)

Point (5, 9)

Step 2: Identify

(1, 4) → x₁ = 1, y₁ = 4

(5, 9) → x₂ = 5, y₂ = 9

Step 3: 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{9-4}{5-1}[/tex]
  2. [Slope] Subtract:                                                                                             [tex]\displaystyle m=\frac{5}{4}[/tex]

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