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The problem states that \( y \) varies directly with \( x \), meaning that \( y = kx \), where \( k \) is a constant.

We are given that when \( y = 95 \), \( x = 5 \). Using this, we can find the constant \( k \).

\[
95 = k(5)
\]

Solving for \( k \):

\[
k = \frac{95}{5} = 19
\]

Now that we have \( k = 19 \), we can use it to find \( y \) when \( x = -4 \):

\[
y = 19(-4) = -76
\]

Thus, when \( x = -4 \), \( y = -76 \).

Do you want any additional details or have further questions?

Here are five related questions to extend your understanding:
1. What happens to \( y \) if \( x = 0 \)?
2. If \( x = 10 \), what is the corresponding value of \( y \)?
3. How would you describe direct variation in your own words?
4. Can \( y \) ever be negative if \( x \) is positive in this scenario?
5. How does the relationship between \( y \) and \( x \) change if the constant \( k \) is negative?

**Tip:** In direct variation problems, once you find the constant of proportionality \( k \), you can easily calculate \( y \) for any \( x \), or vice versa.

The value of y varies directly with x. If y = 95, then x = 5. Solve for y when x = -4.

Learn how to solve a direct variation problem where y varies with x. Given that y = 95 when x = 5, solve for y when x = -4. Suitable for Grades 6-8.

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