Solution:
The Point in the coordinate plane is A(-5,-4).
Perpendicular or shortest Distance from line y=3 that is (-5,3) to point (-5,-4) is

When it is reflected through the line, y=3, the coordinate of point A (-5,-4) changes to (-5,3+7)= B(-5,10).
Now, the Point B is translated by the rule , (x,y)—->(x+6,y),
So,the point B is translated to, (-5+6,10)=(1,10)
Option C: (1,10) is the glide reflection of point A(-5,-4).
The value of the MN is 2 according to the assumption on the number line.
According to the statement
We have to find that the value of the MN with the help of the value of the x.
So, For this purpose, we know that the
A number line is a horizontal line that has equally spread number increments.
Now,
Assuming that L, M, and N are points on a number line with L < M < N,
According to the assumption, the equation become
4x + x+1 = 6
5x +1 =6
5x =5
x = 1.
Now, the value of the MN become:
MN = x + 1
MN = 1 + 1
MN = 2.
So, The value of the MN is 2 according to the assumption on the number line.
Learn more about number line here
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Hello.
Firstly, let's isolate x on the equation:

Now, we can replace 'x' for 'y' and vice-versa:

Hope I helped.
Step-by-step explanation:
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