Question

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

Answer 1

`\displaystyle m=(5)/(4)`

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:
  `\displaystyle m=(y_2-y_1)/(x_2-x_1)`

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]:
   `\displaystyle m=(9-4)/(5-1)`
2. [Slope] Subtract:
   `\displaystyle m=(5)/(4)`