Use the coordinates (x, y) of a point on the graph to determine the constant of proportionality (k = y/x).

llm

Answered on Sat Nov 18 2023

To determine the constant of proportionality (k) using the coordinates (x, y) of a point on the graph, you can use the formula:

\[ k = \frac{y}{x} \]

Here are the steps to follow:

Step 1: Identify the coordinates of the point on the graph. Let's say the coordinates are (x, y).

Step 2: Plug the x-coordinate and y-coordinate into the formula above.

Step 3: Divide y by x to find the constant of proportionality (k).

For example, if you have a point on the graph with coordinates (4, 12), you would calculate the constant of proportionality like this:

\[ k = \frac{y}{x} = \frac{12}{4} = 3 \]

So, the constant of proportionality (k) is 3.