Answer:
The required answer is [tex]y=-\mathbf{\frac{3}{2}}x\\[/tex]
Step-by-step explanation:
We are given that value of x and y vary directly so , if two values vary directly we can write
y∝x
y=kx
Now, we are given x=-4 and y=6 and we have to fill in the blank. We actually have to find value of k i.e y=____x . Yhe blanks must be filled by value of k because y=kx
Using values of x and y i.e x=-4 and y=6 to find value of k
[tex]y=kx\\6=k(-4)\\Divide \ both \ sides \ with \ -4\\\frac{6}{-4}= \frac{k(-4)}{-4} \\k=\frac{-3}{2}[/tex]
The value of k is [tex]\mathbf{\frac{-3}{2}}[/tex]
So, the required answer is [tex]y=-\mathbf{\frac{3}{2}}x\\[/tex]
