Respuesta :
y=3/4x, as the sign of the function does not change, and the y value is less than the x value
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]\frac{y}{x}=k[/tex] or [tex]y=kx[/tex]
With the point 1 or the point 2 find the value of the constant k
Point 1 (-8,-6)
x=-8
y=-6
substitute
[tex]\frac{y}{x}=k[/tex]
[tex]\frac{-6}{-8}=k[/tex]
[tex]k=\frac{3}{4}[/tex]
therefore
the equation is
[tex]y=\frac{3}{4}x[/tex]
the answer is the option
[tex]y=\frac{3}{4}x[/tex]