To keep it short, since one of the points o the equation 2x-3y=6 is on the line and is the center of the non rigid transformation we can stretch or compress however long we want, the equation or slope will stay the same since slopes are proportional for example the slope in this problem is 2/3. If we multiply the line by a scale factor of 2, the lines are similar and the slope is 4/6 which is the same as 2/3. So the equation stays the same
