SOLUTION: these two points determine a line: (0,3) (2,5) give three points also on this line

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Question 117349: these two points determine a line: (0,3) (2,5) give three points also on this line
Answer by BrittanyM(80) About Me  (Show Source):
You can put this solution on YOUR website!
With the given points, we are able to construct an equation of the line.

Using the points, we can first find the slope:

%283-5%29+%2F+%280-2%29

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%28+600%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+x%2B3%29

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

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