Question

Find the slope of the line through the given points (4,-2),(-1,8)

Answer 1

Answer:

$\displaystyle m=-2$

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: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (4, -2)

Point (-1, 8)

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]:                                                             $\displaystyle m=\frac{8+2}{-1-4}$
2. [Fraction] Add/Subtract:                                                                                  $\displaystyle m=\frac{10}{-5}$
3. [Fraction] Divide:                                                                                                 $\displaystyle m=-2$