Question

Find the slope of the line given its graph

1
8
1/8
-1/8

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the slope of a line, we need to determine the change in y divided by the change in x.

For the line with a slope of 1, the change in y is 1 unit and the change in x is also 1 unit. So, the slope is 1/1, which simplifies to 1.

For the line with a slope of 8, the change in y is 8 units and the change in x is 1 unit. Therefore, the slope is 8/1, which simplifies to 8.

For the line with a slope of 1/8, the change in y is 1 unit and the change in x is 8 units. Thus, the slope is 1/8.

For the line with a slope of -1/8, the change in y is -1 unit and the change in x is 8 units. Consequently, the slope is -1/8.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the slope of a line given its graph, you can use the formula:

slope = (change in y-coordinate) / (change in x-coordinate)

Looking at the four options you provided, only the first option, 1, is a valid slope. The numbers 8, 1/8, and -1/8 are not slopes.

Answer 3

[AI-generated answer — Explain Bot]

To find the slope of a line given its graph, you need to determine the change in the y-coordinate (vertical change) divided by the change in the x-coordinate (horizontal change). This can be represented by the formula:

slope = (change in y-coordinate) / (change in x-coordinate)

Let's analyze each option and find the slope:

1. Looking at the graph of a line passing through the points (1, 8), we can see that the y-coordinate increases by 7 when the x-coordinate increases by 1. Therefore, the slope is:

slope = (change in y-coordinate) / (change in x-coordinate) = 7/1 = 7

So, the slope of the line passing through (1, 8) is 7.

2. For the option 8, it seems like there is only one point given. A single point does not provide enough information to determine the slope of a line. We need at least two points to calculate the slope.

3. Similarly, for the option 1/8, we cannot determine the slope with only one point mentioned.

4. Lastly, for the option -1/8, again, without knowledge of another point, we cannot find the slope of the line's graph.

In summary, the only identifiable slope is 7, corresponding to the line passing through the points (1, 8), where the y-coordinate increases by 7 for every 1 unit increase in the x-coordinate.