Line segment AB has endpoints A (-6,4) and b (-8,2) find the coordinates of A and b after a dilation with a scale factor of 1/2 centered at the origin
To find the new coordinates after a dilation with a scale factor of 1/2 centered at the origin, we multiply both the x-coordinate and the y-coordinate of each point by the scale factor.
For point A:
x-coordinate: -6 * 1/2 = -6/2 = -3
y-coordinate: 4 * 1/2 = 4/2 = 2
So, the new coordinates for point A are (-3, 2).
For point B:
x-coordinate: -8 * 1/2 = -8/2 = -4
y-coordinate: 2 * 1/2 = 2/2 = 1
So, the new coordinates for point B are (-4, 1).