Final answer:
The coordinate increments from point A(4,2) to point B(-1,3) are calculated by subtracting the coordinates of A from B, resulting in a change of (-5, 1) along the x-axis and y-axis, respectively.
Step-by-step explanation:
To calculate the coordinate increments from point A to point B, we subtract the coordinates of point A from the coordinates of point B. The points given are A(4,2) and B(-1,3).
We find the increments along the x-axis (Δx) and the y-axis (Δy) separately:
- Δx = x-coordinate of B - x-coordinate of A = -1 - 4 = -5
- Δy = y-coordinate of B - y-coordinate of A = 3 - 2 = 1
Therefore, the coordinate increments from point A to point B are (-5, 1).