Question

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

−1/4
negative Start Fraction 1 over 4 End Fraction

−4
negative 4

4
4

1/4

Answer 1

To find the constant of proportionality between the points (0, 0) and (4, 1), we can use the formula for the slope (m) of a line given by two points (x₁, y₁) and (x₂, y₂):

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

Substituting the given points (0, 0) and (4, 1):

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

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

The correct response is:

**1/4**