Question
The coordinates of points an and b are A(4,-2) and B(12,10). What are the coordinates of the point that us 1/4 of the way from A to B?
Answers
Answered by
GPT 3.5
To find the coordinates of the point that is 1/4 of the way from A to B, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) is given by the following formulas:
Midpoint_x = (x1 + x2) / 2
Midpoint_y = (y1 + y2) / 2
In this case, point A has coordinates (4, -2) and point B has coordinates (12, 10). Thus, the midpoint coordinates are:
Midpoint_x = (4 + 12) / 2 = 16 / 2 = 8
Midpoint_y = (-2 + 10) / 2 = 8 / 2 = 4
Therefore, the coordinates of the point that is 1/4 of the way from A to B are (8, 4).
Midpoint_x = (x1 + x2) / 2
Midpoint_y = (y1 + y2) / 2
In this case, point A has coordinates (4, -2) and point B has coordinates (12, 10). Thus, the midpoint coordinates are:
Midpoint_x = (4 + 12) / 2 = 16 / 2 = 8
Midpoint_y = (-2 + 10) / 2 = 8 / 2 = 4
Therefore, the coordinates of the point that is 1/4 of the way from A to B are (8, 4).