Hello,
A=(3,-4)
B=(-2,-1)
m=(-4+1)/(3+2)=-3/5
==============
Choice D is true. It is just another way to write the given function.
To confirm choices A through C, replace x as follows and do the math:
For A, let x = -3. Does it really yield -11?
For B, let x = 0. Does it really yield 5?
For C, let x = 1/2. Does it really yield 4?
Take it from here.
Answer: -12
-12 is 12 numbers away from 0
The measure off DF is 11.
In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal. Since SD=4, DT=4 as well. Since UF=7, then FT=7.
DF=DT+TF=4+7=11.