Question

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

−4
negative 4

4
4

14
Start Fraction 1 over 4 End Fraction

−1/4

Answer 1

To find the constant of proportionality for the points (0, 0) and (4, 1), we can use the formula for slope \( m \), which is given by:

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

Using the points (0, 0) as \((x_1, y_1)\) and (4, 1) as \((x_2, y_2)\):

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

Thus, the constant of proportionality is:

\[
\frac{1}{4}
\]

So the correct response is:

**Start Fraction 1 over 4 End Fraction**