A section of a hiking trail begins at the coordinates (-7, 5) and follows a straight path that ends at the coordinates (3, 9). What is the rate of change of the hiking trail?

Question

A section of a hiking trail begins at the coordinates (-7, 5) and follows a straight path that ends at the coordinates (3, 9).  What is the rate of change of the hiking trail?

e.mccormick · Answer

OK, what part of this is giving you trouble?

anonymous · Answer

rate of change

e.mccormick · Answer

Another name for rate of change is the slope.  The reason why is because the slope is found using the change in y and the change in x.

e.mccormick · Answer

Do you know how to get the slope of a line from two points on that line?

anonymous · Answer

yes y1-y2/x1-x2 right?

e.mccormick · Answer

Yes.  That is the one.$$\frac{\Delta y}{\Delta x}=\frac{\mathrm{change \, in} \, y}{\mathrm{change \, in} \, x}$$That is exactly where the name they used, rate of change, comes from.

anonymous · Answer

Thank you!

e.mccormick · Answer

np.  Have fun!

anonymous · Answer

can you help me on some others?