Question

Determine if the equation y = 2/5 x − 4 y=25x-4 represents a proportional relationship. If so, determine the constant of proportionality.

Answer 1

Answer:

The linear equation represents a proportional relationship and its constant of proportionality is $k = \frac{2}{5}$.

Step-by-step explanation:

A proportional relationship exists when the following relationship is observed:

$u = k\cdot v$

Where:

$u$ - Dependent variable.

$v$ - Independent variable.

$k$ - Proportionality constant.

If $y =\frac{2}{5}\cdot x - 4$ and $v = x$ and $u = y+4$, the following expresion is found:

$y = \frac{2}{5}\cdot x -4$

$y + 4 = \frac{2}{5}\cdot x$

$u = \frac{2}{5}\cdot v$

The linear equation represents a proportional relationship and its constant of proportionality is $k = \frac{2}{5}$.