The answer is:
The equation of the line which includes the points (-5,5) and (2,5) is:
[tex]y=5[/tex]
To find the line which includes the points (-5,5) and (2,5) we can use the following equation:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}*(x-x_1)[/tex]
So, using the points (-5,5) and (2,5), we have:
[tex]y-5=\frac{5-5}{2-(-5)}*(x-(-5))[/tex]
[tex]y-5=\frac{0}{2+5}*(x-(-5))[/tex]
[tex]y-5=0*(x+5)[/tex]
[tex]y-5=0[/tex]
[tex]y=5[/tex]
We have that the equation of the line which includes the points (-5,5) and (2,5) is:
[tex]y=5[/tex]
Have a nice day!
Note: I have attached a picture for better understanding.