Respuesta :
Answer:
(-6, 5)
Step-by-step explanation:
The slope of the segment from (0, 6) to (5, -4) is
m = (6--4)/(0-5) = (6+4)/(-5) = 10/(-5) = -2
The slope of the segment from (-1, -5) to (5, -4) is
m = (-5--4)/(-1-5) = (-5+4)/(-6) = (-1)/(-6) = 1/6
In order to be a parallelogram, the slopes of opposite sides must be the same. This means the slope of the segment across from the segment with a slope of 1/6 must also have a slope of 1/6.
Working from (0, 6), to find the point with a slope of 1/6 we will work backward; going down 1 and back 6, we have (0-6, 6-1) = (-6, 5).
