Question

What is the slope of the line passing though the points (-3, 4) and (4, -1)

Answer 1

y₂-y₁
--------
x₂-x₁

x₁ = -3
y₁ = 4

x₂ = 4
y₂ = -1


-1 - 4
----------- =
4 - (-3)

-5
-----
7


m = -⁵/₇

Answer 2

`\displaystyle m=(-5)/(7)`

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

Point (-3, 4)

Point (4, -1)

Step 2: Identify

x₁ = -3, y₁ = 4

x₂ = 4, y₂ = -1

Step 3: 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=(-1-4)/(4--3)`
2. [Slope] Simplify denominator [Fraction]:
   `\displaystyle m=(-1-4)/(4+3)`
3. [Slope] Subtract/Add [Fraction]:
   `\displaystyle m=(-5)/(7)`