Question 117349
With the given points, we are able to construct an equation of the line.


Using the points, we can first find the slope:


{{{(3-5) / (0-2)}}}


This gives us a slope of 1.


Next, we will pick one of the given points and plug the coordinates, along with the slope, into the point-slope formula:


(y - 3) = 1(x - 0)
y = x + 3


Now, we can graph the line in order to locate new points.


{{{graph( 600, 400, -10, 10, -10, 10, x+3)}}}


Three other points that are also located on this line could be:


( 6 , 9 )
( 5 , 8 )
( 4 , 7 )