https://file.aiquickdraw.com/mathbot/file/1729117136354y9ldcwqc.jpg

To find the slope of the line passing through the points \((-4, -2)\) and \((-3, 3)\), we will use the slope formula:

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

Where:
- \((x_1, y_1) = (-4, -2)\)
- \((x_2, y_2) = (-3, 3)\)

Plugging in these values:
\[
m = \frac{3 - (-2)}{-3 - (-4)}
\]
\[
m = \frac{3 + 2}{-3 + 4}
\]
\[
m = \frac{5}{1} = 5
\]

The slope of the line is \(5\).

Would you like more details or have any other questions?

### Related Questions:
1. How do you find the slope of a line given two points?
2. What does a positive slope indicate about the direction of a line?
3. How would you find the equation of a line using its slope and a point on the line?
4. What is the difference between slope-intercept form and point-slope form of a line?
5. How can you determine if two lines are parallel or perpendicular using their slopes?

**Tip:** The slope of a line describes how steep it is and its direction. A positive slope means the line rises as it moves from left to right.

Find the slope of the line that goes between the ordered pairs (-4, -2) and (-3, 3).

Learn how to calculate the slope of a line that passes through the points (-4, -2) and (-3, 3). This step-by-step guide explains the slope formula and how to apply it to linear equations, suitable 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