You have the equation \( c = 25 + 7h \).

This is a linear equation where:

- \( c \) is the dependent variable.
- \( h \) is the independent variable.
- \( 25 \) is the y-intercept (the value of \( c \) when \( h = 0 \)).
- \( 7 \) is the slope (the rate of change of \( c \) with respect to \( h \)).

### Solving for \( h \):

If you want to solve for \( h \), you can rearrange the equation:

\[
h = \frac{c - 25}{7}
\]

### Example:
If \( c = 53 \), then:

\[
h = \frac{53 - 25}{7} = \frac{28}{7} = 4
\]

Would you like more details on how this equation works?

Here are 5 related questions to expand your understanding:

1. What is the significance of the slope in a linear equation?
2. How would you graph the equation \( c = 25 + 7h \)?
3. How does changing the value of \( h \) affect the value of \( c \)?
4. What would happen to the equation if the slope was negative?
5. How can you determine the point at which \( c = 0 \)?

**Tip:** In linear equations, the slope indicates how steep the line is, and whether it rises or falls as you move along the x-axis.

Explore the linear equation c = 25 + 7h with detailed explanations and examples. Understand the concepts of slope, y-intercept, and how to solve for variables. Suitable for Grades 7-9 students and anyone interested in basic algebraic equations.

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