Question

What is the slope of a line that contains the points (-4,-8) and (2,-2)

Answer 1

`\displaystyle m = 1`

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, -8)

Point (2, -2)

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 = (-2--8)/(2--4)`
2. [Fraction] Subtract:
   `\displaystyle m = (6)/(6)`
3. [Fraction] Divide:
   `\displaystyle m = 1`

Answer 2

1

Explanation:

Slope is given by

m = (y2 -y1)/(x2-x1)

= ( -2 - -8)/( 2 - -4)

=( -2+8) / (2+4)

=6/6

=1