Given :
A graph with a straight line on it.
To Find :
The equation of the line.
Solution :
From the given graph we can see that the line passes through point ( 0,6 ) and ( 4,10 ) .
Also, equation of line passes through two points [tex](x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex] is :
[tex]y - y_1 = (\dfrac{y_2-y_1}{x_2-x_1})( x - x_1)[/tex]
Putting all given values, we get :
[tex]y - 6 = (\dfrac{10-6}{4-0})( x -0)\\\\y - 6 = x\\\\y -x = 6[/tex]
Therefore, the equation of line is y - x = 6 .
