Question

Two points on a graph are (0, 0)(0, 0) and (4, 1)(4, 1). Identify the constant of proportionality.(1 point)

Answer 1

To find the constant of proportionality between the two points (0, 0) and (4, 1), you can use the formula for the slope of a line (which also represents the constant of proportionality in a linear relationship):

\[
k = \frac{y_2 - y_1}{x_2 - x_1}
\]

Here, we can assign the points as follows:
- Point 1: \((x_1, y_1) = (0, 0)\)
- Point 2: \((x_2, y_2) = (4, 1)\)

Now substituting the values into the formula:

\[
k = \frac{1 - 0}{4 - 0} = \frac{1}{4}
\]

Thus, the constant of proportionality is \(\frac{1}{4}\).