Answer: coordinate ( 3, 0 )
Step-by-step explanation:
Using general linear equation
Y = MX + C
Let first use coordinates (0, 0) and (6, 0)
M = 0/6 = 0
And the intercept (C) at y = 0
The equation for the first diagonal is : X = 6
The intersection will take place at midpoint.
Therefore X = 3
Also let's consider the
coordinates (2, 4) and (4, -4)
Slope M = (-4-4)/(4-2) = -8/2
M = -4
4 = -4(2) + C
C = 4 + 8 = 12
The equation for the second diagonal will be:
Y = -4X + 12
Substitute the value of X in first equation in the second equation
Y = -4(3) + 12
Y = -12 +12 = 0
At the point of intersection the two lines will have common ( x, y) coordinate.
The ordered pair that represents the intersection of the diagonals of this parallelogram is (3, 0)
