Points A and B are plotted on a number line at -4 and 3, respectively. Find the coordinate of the point that represents the weighted average of A and B if point A has a weight of 2 point B has a weight of 5.
To find the coordinate of the point that represents the weighted average of A and B, we need to calculate the weighted sum of their coordinates and then divide by the total weight.
The weighted sum of their coordinates is 2*(-4) + 5*3 = -8 + 15 = 7.
The total weight is 2 + 5 = 7.
Therefore, the coordinate of the point that represents the weighted average of A and B is 7/7 = 1.