Final answer:
To find the new coordinates after rotating the line 180 degrees CCW and scaling it by 1/2, we first rotate the original points which flips their signs, and then we multiply each rotated coordinate by 1/2, resulting in the final coordinates (-1, -2) and (-2, -4).
Step-by-step explanation:
The question requires plotting a line with given coordinates, rotating it 180 degrees counterclockwise (CCW), and then scaling it by a factor of 1/2. First, we plot the line with the points (2,4) and (4,8). When we rotate the line 180 degrees CCW, the points become (-2,-4) and (-4,-8) respectively, as rotation by 180 degrees places each point in the opposite quadrant with the same distance from the origin.
Next, applying a scale dilation of 1/2 to these coordinates means we multiply each coordinate by 1/2. Therefore, the new scaled coordinates for the two points are (-2*1/2, -4*1/2) = (-1, -2), and (-4*1/2, -8*1/2) = (-2, -4).