Respuesta :
This problem is about transformation.
One type of transformation is dilation, which means an increase.
In this case, we have a dilation from (-5,0) to (-35,0). How do we know that? Because the image refers to the final figure which was already transformed, and the pre-image refers to the initial one.
Now, the right way to the find the dilation factor is dividing, in this case, -35/-5, the numerator is always the image, and the denominator is always the pre-image, in case of dilation
[tex]\frac{-35}{-5}=7[/tex]This means the dilation factor is 7, that's gonna be the same factor for (-7,7), we just need to multiply
[tex](-7,7)\text{ }\rightarrow(-7\cdot7,7\cdot7)\text{ }\rightarrow(-49,49)[/tex]