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

(1 point)
Responses

32
3 halves

2
2

23
2 thirds

12

1 answer

To identify the Constant of Proportionality (slope) from a graph, you typically look for the ratio of the change in the y-values to the change in the x-values between two points on the line.

However, since I cannot see the graph in question, I can guide you on how to find the slope:

  1. Choose two points on the line, denoted as (x1, y1) and (x2, y2).
  2. Use the formula for slope: \[ \text{slope} (m) = \frac{y2 - y1}{x2 - x1} \]

Once you calculate this using the y-values and x-values of the points you selected from the graph, you'll be able to determine the correct constant of proportionality.

Given the responses you have, you are looking for a numerical value that matches the slope you calculated. Check each of the provided options until you find the correct one based on your calculations:

  • 32
  • 3 halves (1.5)
  • 2
  • 23
  • 2 thirds (0.666...)
  • 12

Let me know if you need further assistance!