The given linear function is $h(x) = 5x + 4$.

For part (a), we need to determine the slope and the y-intercept of this function.

The general form of a linear equation is: $y = mx + b$ where:

• $m$ is the slope,
• $b$ is the y-intercept.

By comparing $h(x) = 5x + 4$ with $y = mx + b$, we can see that:

• The slope ($m$) is 5,
• The y-intercept ($b$) is 4.

Would you like more details or explanations?

Here are five relative questions to expand on this:

1. What is the significance of the slope in a linear equation?
2. How can we graph a linear function using its slope and y-intercept?
3. What happens to the graph if the slope is negative?
4. How would the equation change if the y-intercept was 0?
5. What are other forms of expressing a linear function, like point-slope form?

Tip: The slope describes how steep the line is and the direction it moves—positive slopes rise, and negative slopes fall.