Answer:
The x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
Step-by-step explanation:
The given triangle has vertices at A(-4,1), B(-2,1) and C(-2,4)
The transformation rule for a horizontal translation by k units is

In this case we have k=6



Therefore the x-coordinates are translated 6 units to the left or right while the y-coordinates are not affected.
See attachment
Answer:
length of segment AB is 13
OR
AB = 13
Step-by-step explanation:
Use the Pythagorean Theorem with c being the length of segment AB.
a^2 + b^2 = c^2
5^2 + 12^2 = c^2
169 = c ^2 (square root both sides to get c by itself)
13 = c

so... you can keep on going towards the negatives with "x", or towards the positives with "x", notice, if the "x" is negative, "y" is just a fraction, positive, but a fraction
and if "x" is positive, "y" is a positive integer
even when x =0, "y" never became 0, and is never negative either
so, the range is, "y" is always positive, but not 0, or
y>0
Slope = (10 - 6)/(30 - 10) = 4/20 = 1/5
answer
1/5 is the slope