Answer:
2
Step-by-step explanation:
To find the weighted average, we need to multiply each coordinate by its weight, then add them together and divide by the total weight. Let's calculate it step by step:
First, we multiply coordinate 1 (which has a weight of 4) by its weight:
1 x 4 = 4
Next, we multiply coordinate 4 (which has a weight of 2) by its weight:
4 x 2 = 8
Then we add the products together:
4 + 8 = 12
Finally, we divide the sum by the total weight:
12 ÷ (4 + 2) = 12 ÷ 6 = 2
Therefore, the weighted average is 2.