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The points are (2,5) and (4,9)

We can find the slope of the line between those points easily.

It is (9-5)/(4-2)=4/2=2

Now use point slope form.

y-5=2(x-2)

or you can use the other point

y-9=2(x-4)

You get the same answer either way

y=2x+5-4=2x+1

So y=2x+1

Using the other equation

y=2x-8+9 so once again

y=2x+1

A good way to check that you did not make an error is to plug in the point.

5=2(2)+1.. YES that works

and

9=2(4)+1, YES that works too.

Our work is done here.

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Q: What is the y intercept of a line containing the points 2 5 4 9?
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