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Graph the triangle with vertices K(0,0), L(1,2), and M(0,3).
1) apply the transformation T(x,y)=(x+4, y+3). Label the new vertices K, L, and M
2)DRAW A LINE THROUGH K AND K. WHAT IS ITS SLOPE? DRAW A LINE THROUGH L AND L. WHAT IS ITS SLOPE? DRAW A LINE THROUGH M AND M. WHAT IS ITS SLOPE?
3) HOW DO THE SLOPES OF THE LINES RELATE TO THE TRANSFORMATION RULE T(x,y)?
4) BASED ON YOUR RESULTS FROM THIS, MAKE A CONJECTURE ABOUT THE SLOPE OF THE LINE THROUGH K AND K WHEN THE TRANSFORMATION T(x,y)=(x+h, y+k) is applied to point K

Please show us what you have tried, First.

happy said:

Please show us what you have tried, First.

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Agreed.

This is very much a "plug-n-chug" problem. You should at least have been able to get part (1) done, and (2) is just applying the slope formula, so that should also be easy. For (3), tell us what your thoughts are, and we'll be glad to try to steer you toward a useful conclusion.

Thank you.

Eliz.