Answer:
(-3, 3)
Step-by-step explanation:
The equation of line AB is

Since the y-intercept of the given line is (0,2), the line AB and the given line intersect at (0,2).
By definition, (0,2) is the midpoint of AA', where A' is the image of A after the reflection.
So, the coordinates of A' are (-3, 3)
1. Rational
2. Irrational
3. Irrational
4. Irrational
5. Rational
<u><em>Answer:</em></u>
x = 3
<u><em>Explanation:</em></u>
The complete question is shown in the attached diagram
<u>Collinear points</u> are defined as points that lie on the same straight line
Since points U, T and V are given to be collinear, this means that these three points lie on the same straight line
Now, we are given that point U is between points T and V
This would mean that the length of segment TV can be written as the sum of the segments TU and UV
<u>Therefore:</u>
TV = TU + UV
<u>We are given that:</u>
TV = 14x - 8
TU = 9x + 2
UV = 5
<u>Substitute with the givens in the above mentioned equation and solve for x as follows:</u>
TV = TU + UV
14x - 8 = 9x + 2 + 5
14x - 8 = 9x + 7
14x - 9x = 7 + 8
5x = 15
x = 3
Hope this helps :)