Final answer:
The horizontal change (component) between points A(-5,3) and B(1,-5) is 6, and the vertical change (component) is -8.
Step-by-step explanation:
To calculate the horizontal and vertical change between two points A(-5,3) and B(1,-5), we need to find the differences in their x-coordinates (horizontal change) and y-coordinates (vertical change). We find the horizontal component by subtracting the x-coordinate of A from the x-coordinate of B. Similarly, we find the vertical component by subtracting the y-coordinate of A from the y-coordinate of B.
The horizontal change is: Bx - Ax = 1 - (-5) = 6
The vertical change is: By - Ay = -5 - 3 = -8
Therefore, the horizontal component is 6, and the vertical component is -8.