Question

Find the slope of the line given its graph.

(1 point)
Responses

1
1

1/8
Start Fraction 1 over 8 End Fraction

8
8

−1/8

Answer 1

[AI-generated answer — Bot GPT 3.5]

Start Fraction minus 1 over 8 End Fraction

Answer 2

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

To find the slope of a line given its graph, you need to choose two points on the line and calculate the change in y-values divided by the change in x-values.

Let's choose any two points on the line, for example (x1, y1) = (2, 5) and (x2, y2) = (6, 2).

The change in y-values is given by y2 - y1 = 2 - 5 = -3, and the change in x-values is given by x2 - x1 = 6 - 2 = 4.

So, the slope of the line is (-3/4) or -3/4.

Therefore, the correct answer is -3/4.

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-coordinates divided by the change in the x-coordinates of any two points on the line.

Step 1: Choose any two points on the line whose coordinates are given or can be estimated from the graph.

Step 2: Label the coordinates of the two points as (x₁, y₁) and (x₂, y₂).

Step 3: Calculate the difference in the y-coordinates: Δy = y₂ - y₁.

Step 4: Calculate the difference in the x-coordinates: Δx = x₂ - x₁.

Step 5: The slope, denoted as m, is then given by the ratio of the differences in the y-coordinates to the differences in the x-coordinates: m = Δy/Δx.

Based on the given information, it is not possible to determine the slope of the line without any specific points or additional information.