https://file.aiquickdraw.com/mathbot/file/1728483391876c80gdhet.jpg

The image shows a graph with a line passing through the points \((-6, 0)\) and \((-3, -3)\). We need to find the slope of the line that connects these two points.

The formula for the slope \(m\) of a line between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:

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

Here, the points are:
- \((-6, 0)\) which gives \(x_1 = -6\), \(y_1 = 0\)
- \((-3, -3)\) which gives \(x_2 = -3\), \(y_2 = -3\)

Substitute these values into the slope formula:

\[
m = \frac{-3 - 0}{-3 - (-6)} = \frac{-3}{-3 + 6} = \frac{-3}{3} = -1
\]

So, the slope of the line is \(-1\).

Would you like further clarification or details on any part of the process?

Here are some related questions:
1. How do you interpret slope in terms of rise and run?
2. What does a slope of \(-1\) mean in terms of the steepness of the line?
3. Can a vertical line have a slope?
4. How would you find the slope if the points were reversed?
5. What is the slope of a horizontal line?

**Tip**: The slope indicates how much the \(y\)-coordinate changes for every unit change in the \(x\)-coordinate.

What is the slope of the line passing through the points (-6, 0) and (-3, -3)?

Learn how to calculate the slope of a line passing through the points (-6, 0) and (-3, -3) using the slope formula m = (y2 - y1) / (x2 - x1). This example covers key coordinate geometry concepts and is 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