Thank you Stefy.

And there was me, about to award you the "Teacher of the Month Award"

Bob

I hope you are kidding.

Hi daydoe12

I'm male, not female...

]]>You have -2 -> 3 and 8 -> 5 so call x=-2 and y =3 in the first equation and x = 8 and y = 5 in the second.

When you solve that you get m = 1/5 and b = 17 / 5. Now plug in to the first equation.

]]>And there was me, about to award you the "Teacher of the Month Award"

Bob

]]>Bob explained very well in post #9. I don't think I could any better at explaining it.

]]>My answer used a similar idea but I think his is the right way.

If you think about the straight line graph this produces, every point between -2 and 8, will map onto every point between 3 and 5

And the mapping is reversible.

To prove it, you'd have to show the mapping is 1:1 in both direcctions, and that a point inside the first interval maps to a point inside the resulting interval.

Bob

]]>Bob

]]>I think yours is correct and I have misunderstood what is wanted.

I'll leave the post as a reminder to me to **read the question!**

Bob

]]>]]>

Welcome to the forum.

How about

Bob

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