Certainly! Let's solve this step-by-step, given that the value of [tex]\( y \)[/tex] varies directly with [tex]\( x \)[/tex]. This means we can use the formula for direct variation, which is:
[tex]\[ y = kx \][/tex]
We're given the following values:
[tex]\[ k = -3 \][/tex]
[tex]\[ x = -3 \][/tex]
Now, substitute these values into the direct variation formula:
[tex]\[ y = (-3) \cdot (-3) \][/tex]
When you multiply these values together:
[tex]\[ y = 9 \][/tex]
So, the value of [tex]\( y \)[/tex] when [tex]\( x = -3 \)[/tex] is:
[tex]\[ y = 9 \][/tex]
