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The image shows a problem about a linear function \( h(x) = 5x + 4 \), with parts (a) and (b) visible. Let's break it down:

### Part (a): Determine the slope and y-intercept of the function.
- The function is in the form \( h(x) = mx + b \), where:
  - \( m \) is the slope.
  - \( b \) is the y-intercept.

From the given equation \( h(x) = 5x + 4 \):
- The slope \( m = 5 \).
- The y-intercept \( b = 4 \).

### Part (b): Use the slope and y-intercept to graph the linear function.
- To graph this, start at the y-intercept (0, 4) on the y-axis.
- Then, using the slope \( m = 5 \), rise 5 units and run 1 unit to the right to find another point (1, 9).
- Connect these two points with a straight line.

Would you like more details or assistance on any part?

Here are some follow-up questions:
1. How do you interpret the slope in a real-world context?
2. What happens to the graph if the slope is negative?
3. How can you verify the y-intercept using a table of values?
4. What is the significance of the x-intercept, and how can you find it?
5. How would the graph change if the slope were fractional, like \( \frac{1}{2} \)?

**Tip:** When graphing a line, always plot the y-intercept first, then use the slope to find additional points.

Determine the slope and y-intercept of the function h(x) = 5x + 4 and use this information to graph the function.

Learn how to determine the slope and y-intercept of the linear function h(x) = 5x + 4 and graph it. This problem introduces key algebraic concepts such as the slope and y-intercept. Suitable for students in Grades 7-9.

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