Question

Fill in the steps to find the area of the shape. Units are in yards.

graph shows 4 points (-9,2) (-5,-4) (4,2) (0,8)

Step 1: Find the
of the line that connects A to B and the line that connects
.

Once these are found, we will
these.

The final answer is

.

Answer 1

To find the area of the shape formed by the points (-9, 2), (-5, -4), (4, 2), and (0, 8), we need to perform the following steps:

Step 1: Find the **slopes** of the line that connects A to B and the line that connects **C to D**.

The two lines we are considering are the line segments between:
- Point A (-9, 2) and Point B (-5, -4)
- Point C (4, 2) and Point D (0, 8)

Once these are found, we will **determine the area using the appropriate formula** (the shoelace formula or break it down into simpler shapes).

The final answer is **the area of the formed shape in square yards**.

## Additional Calculations (If Necessary)

To find the area, we can also apply the shoelace formula directly to the coordinates:

1. List the coordinates in order:
- A (-9, 2)
- B (-5, -4)
- C (4, 2)
- D (0, 8)

2. Apply the Shoelace Formula:
\[
\text{Area} = \frac{1}{2} \left| x_1y_2 + x_2y_3 + x_3y_4 + x_4y_1 - (y_1x_2 + y_2x_3 + y_3x_4 + y_4x_1) \right|
\]

Where the points are:
- (x1, y1) = (-9, 2)
- (x2, y2) = (-5, -4)
- (x3, y3) = (4, 2)
- (x4, y4) = (0, 8)

3. Substitute the coordinates into the formula and compute the area.