Finding the end section

[Solar_blaze]

I need to find the end section of point C
It says that p is the meeting point of BC
B is (3,4) p is (7,10) I know how to find when 2 ends are known but I don't know how to find when only the middle of the meeting section and one end are known.

I tried Xp=XB+XC split by 2 any suggestions?

 

[pka]

I need to find the end section of point C
It says that p is the meeting point of BC
B is (3,4) p is (7,10) I know how to find when 2 ends are known but I don't know how to find when only the middle of the meeting section and one end are known.

This may be a bit advanced, but think about.

The line in parametric form is:
\(\displaystyle (3,4)+t[(7,10)-(3,4)]\\(3,4)+t(4,6)\\(3+4t,4+6t)\) here \(\displaystyle t\) is any real number.

When \(\displaystyle t=0\) we get the point \(\displaystyle B\).
When \(\displaystyle t=1\) we get the point \(\displaystyle p\).
When \(\displaystyle t=2\) we get the point you are looking for.

 

[Steven G]

I need to find the end section of point C
It says that p is the meeting point of BC
B is (3,4) p is (7,10) I know how to find when 2 ends are known but I don't know how to find when only the middle of the meeting section and one end are known.

I tried Xp=XB+XC split by 2 any suggestions?

The change in x from B to p is +4, so add 4 to 7 and get 11. The change in y from B to p is +6, so add 6 to 10 and get 16. Then C = (11,16). I like pka's method better.