Answer:
[tex]k=\frac{4}{7}[/tex]
Step-by-step explanation:
The equation [tex]y=kx[/tex] represents a proportional relationship that always passes through the origin. Excluding of the origin, you can plug any [tex](x,y)[/tex] coordinate into this function to get [tex]k[/tex].
Using the first coordinate, we have:
[tex]4=k(7),\\k=\frac{4}{7}[/tex]
Verify that [tex]y=kx[/tex] works for the other coordinates [tex]\checkmark[/tex]
Thus, the value of constant [tex]k[/tex] is [tex]\fbox{$\frac{4}{7}$}[/tex].
