What is the equation of the plane in the picture above?

http://i.imgur.com/fK5ljHf.png

Question

What is the equation of the plane in the picture above? 

http://i.imgur.com/fK5ljHf.png

ganeshie8 · Answer

start by finding the `intercepts`

ganeshie8 · Answer

equation of plane with intercepts $a,b, c$ :
 
$\large \dfrac{x}{a} + \dfrac{y}{b} + \dfrac{z}{c} = 1$

anonymous · Answer

what number go where?

ganeshie8 · Answer

http://www.ditutor.com/space/intercept_equation.html

ganeshie8 · Answer

what are ur intercepts ?

anonymous · Answer

I don't have any

ganeshie8 · Answer

intercept is just the coordinate of a point at which the `plane` cuts the `axis`

anonymous · Answer

yeah, but i don't see any numbers to count from

ganeshie8 · Answer

Look at ur given diagram :
there are FOUR dashes in black along x axis, eh ?

ganeshie8 · Answer

that means, x intercept = a = 4

anonymous · Answer

oh yeah i see that so y is 4 as well?

ganeshie8 · Answer

Yep ! y intercept = b = 4

ganeshie8 · Answer

what about z intercept ?

anonymous · Answer

4 as well

ganeshie8 · Answer

careful, count again

anonymous · Answer

5 hehe

anonymous · Answer

So how do i write that i fill in the equation you gave me right

ganeshie8 · Answer

yep ! 
plugin the interceps a,b,c values

anonymous · Answer

x/4 + y/4+ z/5=1?

ganeshie8 · Answer

Looks good !

ganeshie8 · Answer

if u want u can multiply thru by 20 and put it in good looking form :

$\large \dfrac{x}{4} + \dfrac{y}{4} + \dfrac{z}{5} = 1$


$\large 20\left(\dfrac{x}{4} + \dfrac{y}{4} + \dfrac{z}{5}\right) = 20\times 1$



$\large 5x + 5y +  4z = 20$

anonymous · Answer

Thank you @ganeshie8  <3333333333