Question: Find the ordered pair of the point that lies at $x = \frac{9}{23}$, given the function below:
$h(x) = -5x + 4$
1. **State the problem:** We need to find the ordered pair $(x, h(x))$ for $x = \frac{9}{23}$ given the function $h(x) = -5x + 4$.
2. **Formula used:** The function is linear and given by $h(x) = -5x + 4$. To find the point, substitute $x = \frac{9}{23}$ into the function.
3. **Substitute and calculate:**
$$h\left(\frac{9}{23}\right) = -5 \times \frac{9}{23} + 4$$
4. **Multiply:**
$$-5 \times \frac{9}{23} = \frac{-45}{23}$$
5. **Add 4:**
$$h\left(\frac{9}{23}\right) = \frac{-45}{23} + 4 = \frac{-45}{23} + \frac{92}{23}$$
6. **Simplify the fraction:**
$$h\left(\frac{9}{23}\right) = \frac{-45 + 92}{23} = \frac{47}{23}$$
7. **Final ordered pair:**
$$\left(\frac{9}{23}, \frac{47}{23}\right)$$
**Answer:** The ordered pair is $\left(\frac{9}{23}, \frac{47}{23}\right)$.