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 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. The slope is negative because the line increases 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.

Answer 1

In order to determine whether a slope is positive or negative based on a graph, we look at the direction of the line as we move from the left side of the graph to the right side.

1. **Positive Slope**: A line has a positive slope if it rises as you move from left to right. This means that the y-values are increasing as the x-values increase. For example, if you imagine walking along the line from left to right, you would be going uphill.

2. **Negative Slope**: A line has a negative slope if it falls as you move from left to right. This means that the y-values are decreasing as the x-values increase. In this case, if you were walking along the line from left to right, you would be going downhill.

Based on the responses you provided:

- “The slope is negative because the line decreases as you move from left to right on the graph.” **(Correct)** - This accurately describes a negative slope.
- “The slope is positive because the line increases as you move from left to right on the graph.” **(Correct)** - This accurately describes a positive slope.
- “The slope is negative because the line increases as you move from left to right on the graph.” **(Incorrect)** - A line that increases does not have a negative slope.
- “The slope is positive because the line decreases as you move from left to right on the graph.” **(Incorrect)** - A line that decreases does not have a positive slope.

In summary, the sign of the slope (positive or negative) is determined by the direction the line is moving as you go along the x-axis from left to right: rising gives positive and falling gives negative.