Sure! Let's go through the steps to solve this problem.
### Step-by-Step Solution:
1. Identify the Points:
We need to plot the following points on a coordinate grid:
- (6, 8)
- (1, 9)
- (8, -6)
- (7, 2)
- (5, -7)
- (-4, -8)
2. Plot the Points:
On a coordinate grid:
- Point (6, 8) is positioned where [tex]\( x = 6 \)[/tex] and [tex]\( y = 8 \)[/tex].
- Point (1, 9) is positioned where [tex]\( x = 1 \)[/tex] and [tex]\( y = 9 \)[/tex].
- Point (8, -6) is positioned where [tex]\( x = 8 \)[/tex] and [tex]\( y = -6 \)[/tex].
- Point (7, 2) is positioned where [tex]\( x = 7 \)[/tex] and [tex]\( y = 2 \)[/tex].
- Point (5, -7) is positioned where [tex]\( x = 5 \)[/tex] and [tex]\( y = -7 \)[/tex].
- Point (-4, -8) is positioned where [tex]\( x = -4 \)[/tex] and [tex]\( y = -8 \)[/tex].
3. Connect the Last Three Points to Form a Shape:
To form a shape, we consider the last three coordinates:
- (7, 2)
- (5, -7)
- (-4, -8)
We will join these points on the grid as follows:
- Draw a line from (7, 2) to (5, -7).
- Draw a line from (5, -7) to (-4, -8).
- Draw a line from (-4, -8) back to (7, 2).
4. Determine the Shape:
When we connect these three points, we form a closed figure. Any closed figure that is formed by joining three points is a triangle.
### Conclusion:
The shape formed by plotting and joining the points (7, 2), (5, -7), and (-4, -8) is a triangle.
