How do I do this?

On a graph the end points of AB are:

A(0,2) B(9,-4)

How do I graph point C on the x axis such that AC+BC is minimized.

C= (_?_?_?_?_,0)

Question

How do I do this?

On a graph the end points of AB are: 

A(0,2) B(9,-4) 

How do I graph point C on the x axis such that AC+BC is minimized. 

C= (_?_?_?_?_,0)

unklerhaukus · Answer

plot the points

anonymous · Answer

First find the equation of the line AB

anonymous · Answer

and substitute y=0 and find the value of x

anonymous · Answer

So,  C=(x,0)

anonymous · Answer

NOTE: AC+BC is minimum if ABC is a straight line

anonymous · Answer

I got C=4.5,0. but I'm not confident I did it correctly.  Did I do it right?

anonymous · Answer

|dw:1356959585625:dw|

its gonna be like this.i just drew the graph to make it easier to imagine.