Question

Find the slope of:(12,-2) and (4, -6)

Answer 1

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:

• $(x ,\ y)$
• Slope Formula:
  $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Application

Step 1: Define

We are given the coordinates $(12 ,\ -2)$ and $(4 ,\ -6)$. Recall from our definition that they are in the format of $(x ,\ y)$. Therefore, we can set $x_1 = 12 ,\ y_1 = -2 ,\ x_2 = 4 ,\ y_2 = -6$.

Step 2: Work

1. [Slope Formula] Substitute in given coordinates:
   $\displaystyle m = \frac{-6 - (-2)}{4 - 12}$
2. [Order of Operations] Simplify:
   $\displaystyle\begin{aligned}m & = \frac{-6 - (-2)}{4 - 12} \\& = \frac{-6 + 2}{-8} \\& = \frac{-4}{-8} \\& = \frac{1}{2} \\\end{aligned}$

Answer

∴ the slope m of the coordinates $(12 ,\ -2)$ and $(4 ,\ -6)$ is equal to $\displaystyle \frac{1}{2}$, or 0.5.

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Learn more about Algebra I: https://brainly.com/question/10664006

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Topic: Algebra I
Unit: Linear Equations