https://file.aiquickdraw.com/mathbot/file/1727189286410834497h3.jpg

The problem asks for the slope of the lines determined by two points \( A \) and \( B \) for two cases:

1. **Slope formula**:
   The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is calculated using the formula:
   \[
   m = \frac{y_2 - y_1}{x_2 - x_1}
   \]

Let's solve each part:

### a. For points \( A(3,4) \) and \( B(4,3) \):
\[
m = \frac{3 - 4}{4 - 3} = \frac{-1}{1} = -1
\]
So, the slope is \( m = -1 \).

### b. For points \( A(4,5) \) and \( B(8,13) \):
\[
m = \frac{13 - 5}{8 - 4} = \frac{8}{4} = 2
\]
So, the slope is \( m = 2 \).

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Would you like more detailed explanations or have further questions? Here are some related questions:

1. How can the slope formula be used in real-life applications?
2. What is the significance of a positive versus a negative slope?
3. How would you find the equation of a line given its slope and a point?
4. What is the difference between a slope of zero and an undefined slope?
5. How does changing one of the points affect the slope?

**Tip:** When the slope is positive, the line rises from left to right, while a negative slope means it falls from left to right.

Carilah kemiringan (slope) garis yang telah ditentukan oleh titik A dan B berikut ini: 

a. A(3,4) dan B(4,3) 
b. A(4,5) dan B(8,13)

Learn how to calculate the slope of a line between two points, such as A(3,4) and B(4,3), and A(4,5) and B(8,13), using the slope formula. A step-by-step solution is provided, suitable for students in Grades 7-9.

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