Given a scale factor of 2, find the coordinates for the dilation of the line segment with endpoints (–1, 2) and (3, –3). (1 point)
(–2, 4) and (6, 6)
(2, 4) and (6, 6)
(–2, 4) and (6, –6)
(2, –1) and (–3, 3)
To find the coordinates for the dilation of a line segment with a scale factor of 2, we need to multiply the x and y coordinates of the endpoints by the scale factor.
Let's start with the first endpoint (–1, 2):
x-coordinate = –1 * 2 = –2
y-coordinate = 2 * 2 = 4
So the new coordinates for the first endpoint are (–2, 4).
Now let's move on to the second endpoint (3, –3):
x-coordinate = 3 * 2 = 6
y-coordinate = –3 * 2 = –6
So the new coordinates for the second endpoint are (6, –6).
Therefore, the correct answer is (–2, 4) and (6, –6).