For this case we have to by definition, if "y" varies directly with "x" then it is true that:
[tex]y = kx[/tex]
Where:
k: Is the constant of proportionality
We find the constant "k" according to the given data:
[tex]14 = k (-4)\\k = - \frac {14} {4} = -\frac {7} {2}[/tex]
Thus, the constant of proportionality is [tex]- \frac {7} {2}.[/tex]
Now, we find the value of "y" when [tex]x = -6:[/tex]
[tex]y = - \frac {7} {2} (- 6)\\y = \frac {42} {2}\\y = 21[/tex]
Thus, when[tex]x = -6[/tex], the value of y is 21.
ANswer:
[tex]y = 21[/tex]
