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

Question

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:

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