https://file.aiquickdraw.com/mathbot/file/1726748189936iqzthmdh.jpg

To determine which line has a **positive gradient**, we need to analyze the direction of each line in the image.

A line has a **positive gradient** if it slopes **upwards** from left to right. 

### Analyzing the lines:
- **Line A (green)** is horizontal, meaning its gradient is zero (not positive or negative).
- **Line B (purple)** slopes upwards from left to right, meaning it has a **positive gradient**.
- **Line C (blue)** slopes downwards from left to right, meaning it has a **negative gradient**.
- **Line D (red)** is vertical, meaning its gradient is undefined.

Thus, **Line B** has a positive gradient.

The correct answer is **B. Line B**.

Would you like more details, or do you have any other questions? 

Here are 5 related questions for practice:
1. What does a line with a negative gradient look like?
2. How do you calculate the gradient of a line given two points?
3. Can a horizontal line have a positive or negative gradient?
4. What is the gradient of a vertical line, and why is it undefined?
5. How would you sketch a line with a specific positive gradient?

**Tip:** Remember, the gradient of a line is the change in \( y \) over the change in \( x \), often referred to as "rise over run."

Learn how to identify a line with a positive gradient by analyzing the slope direction. This problem involves key concepts in coordinate geometry and is 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