What are the coordinates of the image of A(-3, 4) after a dilation centered at the origin with a scale factor of 2/3?
To find the coordinates of the image of A(-3, 4) after a dilation centered at the origin with a scale factor of 2/3, we need to multiply the coordinates of A by the scale factor.
The formula for dilation is:
(x', y') = (k * x, k * y)
Where (x', y') represents the coordinates of the image, (x, y) represents the coordinates of the original point, and k represents the scale factor.
In this case, the scale factor (k) is 2/3.
So, let's apply the formula:
x' = (2/3) * (-3) = -2
y' = (2/3) * 4 = 8/3
Therefore, the coordinates of the image of A(-3, 4) after the dilation with a scale factor of 2/3 are (-2, 8/3).