abcd is a rectangle. a is the point (0,1). c is the point (0,6) the equation of the straight line through a and b is y=2x+1. (a)find the equation of the straight line through d and b

1 answer

you know that BC⊥AB so it has slope -1/2
so use the point-slope form for BC and you have
y = -1/2 x + 6
the two lines intersect at B = (2,5)
B = C+(2,-1) so D = A-(2,-1) = (-2,2)
The line through B and D has slope 3/4, so its equation is
y-2 = 3/4 (x+2)