A <u><em>rigid transformations</em></u> that do not change the shape or size of the preimage and <u><em>non-rigid transformations</em></u> that change the size but not the shape of the preimage
The translation is a rigid transformation
so
The size of the preimage and the size of the image are equal
Since it's parallel, then the slope is the same use the point slope formula and plug in the slope and point y-y1=m(x-x1) y-4=-4(x+2) y-4=-4x-8 y=-4x-4 this is in slope intercept form