Given the function $h(x) = -3x + 2$, we need to find $h(1)$.

Step 1: Substitute $x = 1$ into the function

$h(1) = -3(1) + 2$

Step 2: Perform the multiplication and addition

$h(1) = -3 + 2 = -1$

So, $h(1) = -1$.

Would you like more details or have any questions? Here are five related questions to consider:

1. How would the value of $h(x)$ change if the function were $h(x) = -3x - 2$?
2. What is the graph of the function $h(x) = -3x + 2$ like?
3. How do you find the x-intercept of the function $h(x) = -3x + 2$?
4. What is the effect of changing the slope in the linear function $h(x) = -3x + 2$?
5. How can you determine if a function is increasing or decreasing based on its slope?

Tip: For linear functions, the slope ($m$) directly indicates the direction and steepness of the line.