To find the area of the shape defined by the points (-9,2), (0,8), (4,2), and (-5,-4), we can use the following steps:
Step 1: Find the slope of the line that connects A (point A = (-9,2)) to B (point B = (0,8)) and the line that connects the other pairs of points to derive their slopes.
Once these are found, we will use the appropriate formula or method (like the shoelace formula) to calculate the area of the polygon formed by these points.
The final answer is the area in square yards.
To summarize the area-calculating steps:
- Calculate the slopes of the lines connecting the points.
- Use determined slopes to understand the shape or if necessary.
- Apply the shoelace theorem or standard area calculation for the polygon formed to find the area.