13.6k views
3 votes
Determine if the equation y = 2/5 x − 4 y=25x-4 represents a proportional relationship. If so, determine the constant of proportionality.

User Sgrove
by
7.1k points

1 Answer

2 votes

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:


u - Dependent variable.


v - Independent variable.


k - 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).

User Ajouve
by
7.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.