Answer:
Equation of line GH is y=x+3.
Explanation:
Equation of any line can be represented in the form y=mx+b where m is the slope and b is the y intercept.
The given line is passing through the points ( 2,5) and (6,9).
Slope =m = (9-5)÷(6-2) =1.
The given line passes through the point (2,5) and m=1.
Substituting the values of m,x,y in y=mx+b we have:
5=1(2)+b
Or, 5=2+b ,
Or b=3 .
Line GH has slope m=1 and y intercept b=3 .
Hence equation of line GH is y=x+3.