Answer:
see explanation
Step-by-step explanation:
If y is proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k divide both sides by x
k = [tex]\frac{y}{x}[/tex]
This value must be constant for all ordered pairs, thus
k = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]
k = [tex]\frac{6}{9}[/tex] = [tex]\frac{2}{3}[/tex]
k = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex]
k = [tex]\frac{2}{3}[/tex]
Since k is constant for all ordered pairs then y is proportional to x
