Question

Find the slope of the line going through the points (0, -5) and (-2,1)

Answer 1

Answer:

$\displaystyle m=-3$

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 (0, -5)

Point (-2, 1)

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]:                                                          $\displaystyle m=\frac{-5-1}{0--2}$
2. [Fraction - Denominator] Simplify:                                                                $\displaystyle m=\frac{-5-1}{0+2}$
3. [Fraction - Numerator] Subtract:                                                                     $\displaystyle m=\frac{-6}{0+2}$
4. [Fraction - Denominator] Add:                                                                      $\displaystyle m=\frac{-6}{2}$
5. [Fraction] Divide:                                                                                             $\displaystyle m=-3$