Question

Explain why the slope is positive or negative.

(1 point)
Responses

The slope is negative because the line decreases as you move from left to right on the graph.
The slope is negative because the line decreases as you move from left to right on the graph.

The slope is positive because the line decreases as you move from left to right on the graph.
The slope is positive because the line decreases as you move from left to right on the graph.

The slope is positive because the line increases as you move from left to right on the graph.
The slope is positive because the line increases as you move from left to right on the graph.

The slope is negative because the line increases as you move from left to right on the graph.

first point (0,0) second point (6,6)

Answer 1

To determine whether the slope is positive or negative based on the given points (0,0) and (6,6), we can analyze the relationship between these two points.

1. **Identifying the Points**:
- The first point is (0,0), which is located at the origin.
- The second point is (6,6), which is located in the first quadrant, where both x and y values are positive.

2. **Understanding Slope**:
- The slope of a line is calculated using the formula:
\[
\text{Slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]
- Here, \( (x_1, y_1) = (0, 0) \) and \( (x_2, y_2) = (6, 6) \).

3. **Calculating the Slope**:
- Plugging the values into the formula:
\[
\text{Slope} = \frac{6 - 0}{6 - 0} = \frac{6}{6} = 1
\]

4. **Interpreting the Slope**:
- A slope of 1 means that as you move from left to right along the line, the y-value increases as the x-value increases. This indicates a positive relationship.

5. **Conclusion**:
- Therefore, the slope is positive because the line increases as you move from left to right on the graph.

So, the correct response regarding the slope would be:
**The slope is positive because the line increases as you move from left to right on the graph.**