https://file.aiquickdraw.com/mathbot/file/172678037386087wae3oq.jpg

To find the slope between two points on a graph, we use the slope formula:

\[
\text{slope} (m) = \frac{y_2 - y_1}{x_2 - x_1}
\]

Looking at the table, you have the following points:
- Point 1: \((-2, 5)\)
- Point 2: \((-1, 3)\)

Using the slope formula with these points:
\[
m = \frac{3 - 5}{-1 - (-2)} = \frac{-2}{-1 + 2} = \frac{-2}{1} = -2
\]

Thus, the slope is \(-2\).

Would you like further clarification or additional details on how this was calculated?

Here are 5 related questions you could explore:
1. How would the slope change if we picked two different points from the table?
2. What does a negative slope tell you about the relationship between \(x\) and \(y\)?
3. How do you calculate the slope for vertical or horizontal lines?
4. Can the slope of a line be zero? If so, in what scenario?
5. What is the significance of the slope in real-world applications like distance-time graphs?

**Tip:** A steeper negative slope means the line decreases faster as \(x\) increases.

Find the slope based on the provided table of x and y values: (x: -2, -1, 0, 1; y: 5, 3, 1, -1).

Learn how to find the slope of a line between points (-2, 5) and (-1, 3) using the slope formula. This example covers key concepts in linear equations and coordinate geometry. 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