Answer:
The equation that represent the line GH is:
y = x + 3
Step-by-step explanation:
If we have two point of a line, we can calculate the equation that represent the line using the following equation:

Where m is equal to:

Additionally, the first point have the form
and the second point have the form
.
Then, replacing the values of
by 2,
by 5,
by 6 and
by 9, we get:

Replacing the value of m and solving for y, we get:

So, the equation that represent Line GH is:
y = x + 3
That means that every point of the line GH have the following form:
( x , y ) = ( x , x+3 )