Line gh passes through points (2, 5) and (6, 9). which equation represents line gh?

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 )

the functions have the same rate of change i think. i narrowed it down to this answer and "the rate of change of tour 1 is greater" but i got it wrong using that answer so im assuming its the answer above. (this is a question i also answered from the iready site if anyone needs a reference)