Question

What is the slope of a line that goes through points (-5, -7) and (-4, 1)​

Answer 1

`m = (y_2 - y_ 1 )/(x_2 - x_1 ) = (1 - ( - 7))/( - 4 - ( - 5)) = (1 + 7)/( - 4 + 5) = (8)/(1) =8\\`

8 is the slope of a line that goes through points (-5, -7) and (-4, 1)

Answer 2

`\displaystyle m=8`

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

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

Explanation:

Step 1: Define

Point (-5, -7)

Point (-4, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

1. Substitute in points [SF]:
   `\displaystyle m=(1+7)/(-4+5)`
2. [Fraction] Add:
   `\displaystyle m=(8)/(1)`
3. [Fraction] Divide:
   `\displaystyle m=8`