Answer:
[tex]y=-1.5x[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]
In this problem we have
y=15/2 when x=-5
Find the constant of proportionality k
[tex]k=\frac{y}{x}[/tex]
substitute the given values
[tex]k=\frac{(15/2)}{-5}=-1.5[/tex]
therefore
The linear equation that relates x and y is equal to
[tex]y=-1.5x[/tex]