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.
Find an equation for m in the form y=ax+b where a and b are integers
I need the answer soon as possible. Thank You
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)
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