Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line through the points​ rises, falls, is​ horizontal, or is vertical.

left parenthesis negative 4 comma negative 8 right parenthesis(−4,−8)

and left parenthesis 2 comma negative 8 right parenthesis(2,−8)

Question content area bottom

Part 1

Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

A.

The slope is

enter your response here.

​(Simplify your​ answer.)

B.

The slope is undefined.

To find the slope of the line passing through the points \((-4, -8)\) and \((2, -8)\), we use the slope formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Substituting the given points:

\[
m = \frac{-8 - (-8)}{2 - (-4)} = \frac{0}{2 + 4} = \frac{0}{6} = 0
\]

Since the slope is 0, the line is **horizontal**.

So the correct choice is:

**A. The slope is 0**.

The line is horizontal because the \(y\)-coordinates are the same, meaning there's no vertical change.

Would you like more details or have any questions? Here are some related questions:

1. What does a slope of zero indicate about a line's direction?
2. How do you identify if a slope is undefined?
3. What is the formula for calculating the slope between two points?
4. How would the slope change if the points had different \(y\)-coordinates?
5. How do vertical lines differ from horizontal ones in terms of slope?

**Tip**: A horizontal line always has a slope of zero since there is no vertical change!

Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (-4,-8) and (2,-8)

Learn how to calculate the slope of a line passing through the points (-4, -8) and (2, -8). This problem explains how a zero slope indicates a horizontal line. It covers essential algebraic concepts, including the slope formula and line classification. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation