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**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

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

hectictar
Mar 22, 2018