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ABCD is a rectangle

 

A,E and B are points on a straight line L

with the equation x+3y=18

A and D are points on a straight line M.

 

AE=EB

 

Find an equation for m in the form y=ax+b where a and b are integers

Guest Mar 22, 2018
 #1
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0

I need the answer soon as possible. Thank You

Guest Mar 22, 2018
edited by Guest  Mar 22, 2018
edited by Guest  Mar 22, 2018
 #2
avatar+7324 
+2

If  B  is the  x-intercept and  E  is the  y-intercept of  x + 3y  =  18 , then

 

point B  =  (18, 0)       and       point E  =  (0, 6)

 

Then...

 

point A  =  (-18, 6+6)  =  (-18, 12)

 

Line M  is perpendicular to line L.

 

slope of line L  =  -6/18  =  -1/3   so..

slope of line M  =  3

 

So line M passes through the point  (-18, 12)  with a slope of  3 . So the equation of line M is...

 

y - 12  =  3(x - -18)

y - 12  =  3(x + 18)

y - 12  =  3x + 54

y  =  3x + 66

 

here's a graph:  https://www.desmos.com/calculator/qutll5hyay

hectictar  Mar 22, 2018
 #3
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+1

Thank you so much!

Guest Mar 22, 2018

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