A coordinate plane is a two-dimensional grid that has an x-axis (horizontal) and a y-axis (vertical). A point on the coordinate plane has an x-coordinate (abscissa) and a y-coordinate (ordinate) that show its position on the grid. The distance between two points can be found by using the distance formula, which is derived from the Pythagorean theorem. The distance formula is:
d=(x2−x1)2+(y2−y1)2
where d is the distance, (x1,y1) and (x2,y2) are the coordinates of the two points. In this problem, the coordinates of point A are (6,0) and the coordinates of point B are (0,−8). Plugging these values into the formula, we get:
d=(0−6)2+(−8−0)2
d=36+64
d=100
d=10
Therefore, the distance between A and B is 10 units.