Find the midpoint of points A, left parenthesis, minus, 8, comma, minus, 7, right parenthesisA(−8,−7) and B, left parenthesis, minus, 4, comma, minus, 4, right parenthesisB(−4,−4) graphically.
Plot the line segment AB by clicking twice on the graph.

To find the midpoint of the points \( A(-8, -7) \) and \( B(-4, -4) \) graphically, follow these steps:

### Step 1: Use the Midpoint Formula
The midpoint \( M \) of a line segment with endpoints \( A(x_1, y_1) \) and \( B(x_2, y_2) \) is given by the formula:
\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

### Step 2: Plug in the Coordinates
For points \( A(-8, -7) \) and \( B(-4, -4) \):

\[
M = \left( \frac{-8 + (-4)}{2}, \frac{-7 + (-4)}{2} \right)
\]

### Step 3: Simplify the Coordinates
Calculate each coordinate of the midpoint:

\[
M_x = \frac{-8 + (-4)}{2} = \frac{-12}{2} = -6
\]
\[
M_y = \frac{-7 + (-4)}{2} = \frac{-11}{2} = -5.5
\]

So, the midpoint \( M \) is \( (-6, -5.5) \).

### Step 4: Plot the Points and Line Segment
To plot the line segment \( AB \) on a graph:

1. **Plot Point A**: Start at \( (-8, -7) \).
2. **Plot Point B**: Move to \( (-4, -4) \).
3. **Draw the Line Segment**: Connect the two points with a straight line.

The midpoint \( M(-6, -5.5) \) will lie exactly halfway along this line segment.

Would you like to explore this further or have any other questions?

Here are 5 related questions:
1. What is the distance between points A and B?
2. How do you find the slope of the line passing through points A and B?
3. Can you find the equation of the line that passes through points A and B?
4. What happens to the midpoint if you translate point B horizontally to the right by 2 units?
5. How would you calculate the midpoint if the points A and B had 3D coordinates?

**Tip:** When working graphically, always double-check your plotted points and ensure the line segment is drawn accurately between the two endpoints.

Learn how to find the midpoint of points A(-8, -7) and B(-4, -4) graphically using the midpoint formula. This problem covers coordinate geometry concepts, including plotting points and calculating midpoints. Suitable for students in Grades 7-9.

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