To find the slope between two points, you use the slope formula:

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

Given the points \((-1, 4)\) and \((-1, -3)\):

- \(x_1 = -1\), \(y_1 = 4\)
- \(x_2 = -1\), \(y_2 = -3\)

Substituting these values into the formula:

\[
m = \frac{-3 - 4}{-1 - (-1)} = \frac{-7}{0}
\]

Since the denominator is zero, this means the slope is **undefined**. This is because the line is vertical, and the change in \(x\) is zero. A vertical line has an undefined slope.

### Summary:
- The slope between the points \((-1, 4)\) and \((-1, -3)\) is **undefined**.

Would you like more details or have any questions?

1. What is the difference between a vertical and a horizontal line?
2. How can we represent a line with an undefined slope using an equation?
3. What is the slope of a horizontal line?
4. How can we determine the type of slope (positive, negative, zero, undefined)?
5. How does the distance between two points relate to the concept of slope?

**Tip:** A vertical line always has an equation of the form \(x = \text{constant}\), since all points on the line have the same \(x\)-value.

Discover how to find the slope between the points (-1, 4) and (-1, -3). Learn about vertical lines, undefined slopes, and how to apply the slope formula. This problem is ideal for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation