Question

Find the slope of the line given its graph.

2
1/2
4
-1/2

Answer 1

[AI-generated answer — Bot GPT 3.5]

The slope of the line can be determined by the change in the y-values divided by the change in the corresponding x-values.

Given the points (2, 1/2) and (4, -1/2), the change in the y-values is (-1/2 - 1/2) = -1, and the change in the x-values is (4 - 2) = 2.

Therefore, the slope of the line is -1/2.

Answer 2

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

To find the slope of the line, you need to determine the change in y-coordinates (vertical change) and the change in x-coordinates (horizontal change) between any two points on the line.

Let's choose two points on the line to calculate the slope. The first point is (2, 1/2) and the second point is (4, -1/2).

The change in y-coordinates is -1/2 - 1/2 = -1.
The change in x-coordinates is 4 - 2 = 2.

Now we can calculate the slope using the formula:

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

Substituting the values we calculated:

slope = -1 / 2

Therefore, the slope of the line is -1/2.

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-values (vertical change) divided by the change in the x-values (horizontal change) between any two points on the line.

Looking at the points on the graph you provided:
(2, 1/2) and (4, -1/2)

The change in y-values can be calculated as follows:
Change in y = (-1/2) - (1/2) = -1

The change in x-values can be calculated as follows:
Change in x = 4 - 2 = 2

Therefore, the slope of the line is given by:
slope = change in y / change in x = -1 / 2 = -1/2

Hence, the slope of the line is -1/2.