Question

can someone please walk me through this ?
A point H on a segment with endpoints B (3, −1) and Z (12, 5) partitions the segment in a 5:1 ratio. Find H. You must show all work to receive credit.

Answer 1

i dont even want answers i just need to know how to get it

Answer 2

http://www.algebra.com/algebra/college/linear/Linear_Algebra.faq.question.65750.html

Answer 3

thank you so much !

Answer 4

@ToriLove05 ... ... ack... man I gave you the .... lemme give you the link I meant to give you to begin with http://www.teacherschoice.com.au/Maths_Library/Analytical%20Geometry/AnalGeom_3.htm

Answer 5

anyhow... that's the short way to do it, there is another way to do it, is a bit longer and you can see the simplification, it requires using matching the ratios points equations

anyhow, I just got here, so if you need to go about it... the link above is the shorter way to it :)

Answer 6

anyhow the short version will look like \(\bf B(\color{red}{3,-1})\qquad Z( \color{blue}{12,5})\qquad \textit{ratio of }\ \color{green}{5:1} \textit{ at point }P(x,y)\\ \quad \\

\begin{array}{llll}
&P(\qquad x,\qquad \qquad \qquad y\qquad )\\
&\left(\cfrac{\color{green}{5}(\color{red}{3})+\color{green}{1}( \color{blue}{12})}{\color{green}{5+1}}\quad ,\cfrac{\color{green}{5}(\color{red}{-1})+\color{green}{1}( \color{blue}{5})}{\color{green}{5+1}}\quad \right)
\end{array}\)

Answer 7

I'd be here for a bit, if you want the longer version :)

Answer 8

sorry it took so long to reply ! but, its totally fine, you dont have to show me the long one. shorter is better cx