It's always easier to understand a concept by looking at specific examples with pictures, so I suggest looking at the dilation examples below first...before you try to internalize the steps listed below and that explain the general formula for dilating a point with coordinates of (2,4) by a scale factor of 1212.
1) multiply both coordinates by scale factor(2⋅12,4⋅122⋅12,4⋅12)2)
2. Simplify(1,2)3)
3. Graph(if required)