Respuesta :
The equation that represents line GH is y= x+3
What is equation of line?
The equation of line is an algebraic form of representing the set of points , which together form a line in a coordinate system.
General equation : y-y2 = m (x-x2) where m is the slope of the line
Since, GH passes through points (2,5) and ( 6,9 )
Let x1 = 2 and y1=5
and x2 = 6 and y2 = 9
slope of a line = (y2 - y1) / (x2-x1)
= (9 - 5 )/ (6-2) = 4/4 = 1
now , substituting the values in general form of equation of line , we get
y- 5 = 1 ( x- 2)
y-5 = x- 2
y-x = 3
y = x + 3
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