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)

Answer 1

plot the points

Answer 2

First find the equation of the line AB

Answer 3

and substitute y=0 and find the value of x

Answer 4

So, C=(x,0)

Answer 5

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

Answer 6

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

Answer 7

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