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

+0

# Linear graphs Question

0
1038
3 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

Mar 22, 2018

### 3+0 Answers

#1
0

I need the answer soon as possible. Thank You

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

Mar 22, 2018