Step-by-step explanation:
To determine the coordinate of point M after the dilation, we need to apply the scale factor and center of dilation to the original coordinates.
Given:
Scale factor = 2/3
Center of dilation = (-4, 4)
Let's assume the coordinates of point M in the original figure are (x, y). To find the new coordinates after dilation, we can use the following formula:
New x-coordinate = Center of dilation x-coordinate + (Original x-coordinate - Center of dilation x-coordinate) * Scale factor
New y-coordinate = Center of dilation y-coordinate + (Original y-coordinate - Center of dilation y-coordinate) * Scale factor
Substituting the given values, we have:
New x-coordinate = (-4) + (x - (-4)) * (2/3)
New y-coordinate = 4 + (y - 4) * (2/3)
Since we are specifically looking for the coordinate of point M after dilation, we can substitute M's original coordinates into the formulas. Let's assume the original coordinates of point M are (xM, yM):
New x-coordinate = (-4) + (xM - (-4)) * (2/3)
New y-coordinate = 4 + (yM - 4) * (2/3)
Now we have the coordinates of point M after the dilation.
Please provide the values of xM and yM to calculate the specific coordinate of point M after the dilation.
