Question

Question 101 point)

Find the slope of a line that passes through the following points
(4,9) ,(2,4)

A. 5/2
B. -5/2
C. 2/5
D. -2/5

Answer 1

A. 5/2

Explanation:

Finding slope is Y1 - Y2 over X1 - X2

so, 9 - 4 over 4 - 2

= 5/2

Answer 2

A. 5/2

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 (4, 9)

Point (2, 4)

Step 2: Identify

(4, 9) → x₁ = 4, y₁ = 9

(2, 4) → x₂ = 2, y₂ = 4

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