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

Question

asked Feb 6, 2021 13.6k views

1 Answer

Ajouve · Answer 1 · 2021-02-12T17:56:37+0000

Answer:

The linear equation represents a proportional relationship and its constant of proportionality is
k = (2)/(5) .

Explanation:

A proportional relationship exists when the following relationship is observed:

$u = k\cdot v$

Where:

- Dependent variable.

- Independent variable.

- Proportionality constant.

If
$y =(2)/(5)\cdot x - 4$ and
v = x and
u = y+4 , the following expresion is found:

$y = (2)/(5)\cdot x -4$

$y + 4 = (2)/(5)\cdot x$

$u = (2)/(5)\cdot v$

The linear equation represents a proportional relationship and its constant of proportionality is
k = (2)/(5) .