+0  
 
0
177
1
avatar+605 

The four points $A(-4,0), B(0,-4), X(0,8),$ and $Y(14,k)$ are grouped on the Cartesian plane. If segment $AB$ is parallel to segment $XY$ what is the value of $k$?

gueesstt  Apr 12, 2018
 #1
avatar+7324 
+1

The four points  A(-4,0) ,  B(0,-4) ,  X(0,8) ,  and  Y(14,k)  are grouped on the Cartesian plane.

 

If segment AB is parallel to segment XY, then...

 

the slope of AB   =   the slope of XY

 

\(\frac{-4-0}{0--4}\,=\,\frac{k-8}{14-0}\\~\\ \frac{-4}{4}\,=\,\frac{k-8}{14}\\~\\ -1\,=\,\frac{k-8}{14}\\~\\ -1\cdot14\,=\,k-8\\~\\ -14\,=\,k-8\\~\\ -14+8\,=\,k\\~\\ -6\,=\,k\)

 

( Here's a graph to check this:  https://www.desmos.com/calculator/864gc7gxq2  )

hectictar  Apr 12, 2018

23 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.