Question

Find the slope of the line that passes through the points (-4,2) and (6,6)

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

Answer 1

D. 2/5

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

Identify

Point (-4, 2)

Point (6, 6)

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]:
   `\displaystyle m = (6-2)/(6--4)`
2. [Fraction] Subtract:
   `\displaystyle m = (4)/(10)`
3. [Fraction] Simplify:
   `\displaystyle m = (2)/(5)`