Question

What is the slope of the line through (0, 1) and (-1, -3)

Answer 1

The answer is A. 4

Explanation:

Step 1: Define

Identify points.

Point (0, 1)

Point (-1, -3)

Step 2: Find slope m

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

• Substitute in points [Slope Formula]:

`\displaystyle m = (-3 - 1)/(-1 - 0)m=−1−0−3−1`

• [Order of Operations] Evaluate:

`\displaystyle m = (-4)/(-1)m=−1−4`

• Simplify:
• 
  `\displaystyle m = 4m=4`

Answer 2

A. 4

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

Coordinate Planes

• Reading a coordinate plane
• Coordinates (x, y)

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

Explanation:

Step 1: Define

Identify points.

Point (0, 1)

Point (-1, -3)

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 = (-3 - 1)/(-1 - 0)`
2. [Order of Operations] Evaluate:
   `\displaystyle m = (-4)/(-1)`
3. Simplify:
   `\displaystyle m = 4`