Question

What is the slope of the line that passes through the following points ?
(-7,0) and (4,-2)

Answer 1

Use the y2-y1/x2-x1 formula for the rate of change. So -2-0/4- - 7 answer should be -2/11

Answer 2

`\displaystyle m=(-2)/(11)`

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 (-7, 0)

Point (4, -2)

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=(-2-0)/(4--7)`
2. [Fraction] Simplify:
   `\displaystyle m=(-2-0)/(4+7)`
3. [Fraction] Subtract/Add:
   `\displaystyle m=(-2)/(11)`