Answer :
Answer:
The linear equation represents a proportional relationship and its constant of proportionality is [tex]k = \frac{2}{5}[/tex].
Step-by-step explanation:
A proportional relationship exists when the following relationship is observed:
[tex]u = k\cdot v[/tex]
Where:
[tex]u[/tex] - Dependent variable.
[tex]v[/tex] - Independent variable.
[tex]k[/tex] - Proportionality constant.
If [tex]y =\frac{2}{5}\cdot x - 4[/tex] and [tex]v = x[/tex] and [tex]u = y+4[/tex], the following expresion is found:
[tex]y = \frac{2}{5}\cdot x -4[/tex]
[tex]y + 4 = \frac{2}{5}\cdot x[/tex]
[tex]u = \frac{2}{5}\cdot v[/tex]
The linear equation represents a proportional relationship and its constant of proportionality is [tex]k = \frac{2}{5}[/tex].