Question

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

−14
negative Start Fraction 1 over 4 End Fraction

4
4

−4
negative 4

14

Answer 1

To find the constant of proportionality between the two points \((0, 0)\) and \((4, 1)\), we can use the formula for the constant of proportionality \(k\) in the context of a linear relationship defined by \(y = kx\).

We can find \(k\) using the coordinates of the second point \((4, 1)\):

\[
k = \frac{y}{x} = \frac{1}{4}
\]

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

Therefore, the answer is:

**negative Start Fraction 1 over 4 End Fraction**