Use the image to answer the question below.

Question

Identify the Constant of Proportionality (slope) from the graph.

(1 point)
Responses

12
1 half

32
3 halves

2
2

23
2 thirds

Answer 1

To identify the Constant of Proportionality (slope) from a graph, you look for how much the y-value changes for a given change in the x-value.

Without seeing the graph, here’s how you can determine the slope:

1. Find two points on the line. For instance, if you have points (x₁, y₁) and (x₂, y₂), you can use them to calculate the slope.
2. Use the slope formula: \[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]
3. Compare the calculated slope to the options provided to find your answer.

Given the options, here’s what they represent in terms of the slope:

• 12
• \( \frac{1}{2} \)
• 32
• \( \frac{3}{2} \)
• 2
• 2 (duplicate option)
• \( \frac{2}{3} \)

Once you have determined the slope from the graph using the steps above, you can select the corresponding answer from the options.

If you provide the coordinates of any two points from the graph, I can help calculate the slope directly!