Question

How can you find the constant of proportionality from the coordinates of one point on the graph?

Answer 1

To find the constant of proportionality from the coordinates of one point on the graph, you need to have an equation that represents a proportional relationship.

Let's say the proportional relationship is in the form y = kx, where k is the constant of proportionality.

Given the coordinates of one point on the graph, (x, y), you can substitute these values into the equation to solve for the constant of proportionality.

For example, if the coordinates of the point are (2, 6), you can substitute these values into the equation:

6 = k * 2

Now you can solve for k by dividing both sides of the equation by 2:

6/2 = k

3 = k

Therefore, the constant of proportionality is 3.