https://file.aiquickdraw.com/mathbot/file/1727196401012x5dfmrfq.jpg

The image shows a graph and a prompt asking to find the slope of the given line or state if the slope is undefined.

To calculate the slope of the line (denoted as \(m\)), we use the slope formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
where \((x_1, y_1)\) and \((x_2, y_2)\) are two points on the line.

From the graph, we can identify two clear points:
- Point 1: \((-10, -10)\)
- Point 2: \((10, 10)\)

Now, applying the slope formula:
\[
m = \frac{10 - (-10)}{10 - (-10)} = \frac{10 + 10}{10 + 10} = \frac{20}{20} = 1
\]

Thus, the slope of the line is \(1\). The correct answer is option A: The slope is \(1\).

Would you like further details on how to interpret slope or graph lines? Here are some related questions to expand understanding:

1. What does the slope of a line represent in real-world terms?
2. How do you determine if a line has an undefined slope?
3. What is the significance of a slope being positive, negative, zero, or undefined?
4. Can two lines with the same slope be parallel?
5. How do you find the equation of a line given its slope and one point?

**Tip:** The steeper the line, the larger the absolute value of the slope. If a line is horizontal, the slope is zero, and if it is vertical, the slope is undefined.

Find the slope, if it is defined, of the line. If the slope is undefined, state this. The graph of the line is shown in the image.

Learn how to find the slope of a line from a graph. This example uses the slope formula m = (y2 - y1) / (x2 - x1) to calculate the slope, with points (-10, -10) and (10, 10), resulting in a slope of 1. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation