https://file.aiquickdraw.com/mathbot/file/1726772758932x36tdxi6.jpg

Based on the image of the graph provided, let's solve the questions step-by-step.

### 1. X-Intercept
The x-intercept is the point where the line crosses the x-axis. This occurs when \( y = 0 \).

- Looking at the graph, the line crosses the x-axis at \( x = -1 \).
- **Coordinates of the x-intercept:** \((-1, 0)\).

### 2. Y-Intercept
The y-intercept is the point where the line crosses the y-axis. This occurs when \( x = 0 \).

- Looking at the graph, the line crosses the y-axis at \( y = 1 \).
- **Coordinates of the y-intercept:** \((0, 1)\).

### 3. Symmetry
For the type of symmetry:

- **Origin Symmetry:** If the graph is symmetric with respect to the origin, then for every point \((x, y)\) on the graph, \((-x, -y)\) should also be on the graph. This line is symmetric with respect to the origin.

- **Final answer:** **Origin Symmetry.**

### Summary of Answers:
1. **X-Intercept:** \((-1, 0)\)
2. **Y-Intercept:** \((0, 1)\)
3. **Symmetry:** Origin

Would you like more details or have any other questions?

### Relative Questions:
1. How do you find the slope of a line given two points?
2. What is the general formula for the equation of a line?
3. How do you determine if a line is parallel or perpendicular to another?
4. What is the significance of the y-intercept in the equation of a line?
5. How do transformations affect the symmetry of a graph?

**Tip:** For quick identification, the x-intercept has a y-coordinate of zero, and the y-intercept has an x-coordinate of zero.

Enter the coordinates of the x-intercept and y-intercept for the given line and identify the type of symmetry it has.

This problem involves finding the x-intercept and y-intercept of a line and determining its type of symmetry. Learn how to use the equation of a line and symmetry properties to solve this coordinate geometry problem. Suitable for Grades 8-10.

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