Question

What is the slope of a line that passes through the points (-2, 4) and (-6, 12)?
O-2
○
0
열
2
02

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 (-2, 4)

Point (-6, 12)

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]:                                                            $\displaystyle m=\frac{12-4}{-6+2}$
2. [Slope] [Fraction] Subtract/Add:                                                                         $\displaystyle m=\frac{8}{-4}$
3. [Slope] [Fraction] Divide:                                                                                    $\displaystyle m=-2$