The three co-ordinates of a rectangle are A(3,-4), B(-1,4), C(4,2).Find the fourth co-ordinate

#Plz guyz may you help me out this question

I tried to work with graph paper but i did not get the solution

1 answer

BC has slope -2/5
AC has slope 6

Those two lines are not perpendicular, so there is a misprint somewhere.

Now, if you just want a parallelogram, you want AD to have slope -2/5, and BD to have slope 6. That means you want the intersection of the lines

y+4 = -2/5 (x-3)
y-4 = 6(x+1)
That makes point D=(-2,-2)
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