https://file.aiquickdraw.com/mathbot/file/1726161339079hifdyjx4.jpg

To determine the slope of the line in the given graph, we will use the formula for slope:

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

Looking at the graph, we can identify two points where the line passes through grid intersections:

1. Point 1: \((-2, -1)\)
2. Point 2: \((2, 3)\)

Now, we will apply these coordinates to the slope formula:

\[
m = \frac{3 - (-1)}{2 - (-2)} = \frac{3 + 1}{2 + 2} = \frac{4}{4} = 1
\]

Thus, the slope of the line is **1**.

Would you like more details on this? Here are some related questions:

1. How do we find the slope when the line is vertical or horizontal?
2. What happens to the slope if the line is steeper or flatter?
3. Can we determine the slope from the equation of a line without a graph?
4. How do we interpret negative slopes in a graph?
5. What role does the slope play in linear equations?

**Tip:** The slope of a line tells you how much the line rises or falls as you move horizontally from one point to another.

Find the slope of the line graphed below.

Learn how to calculate the slope of a line from a graph using the slope formula. In this example, two points (-2, -1) and (2, 3) are used to determine that the slope is 1. Suitable for students in Grades 7-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation