Line segment AB has endpoints A(2,7) and B(6,5). Line segment CD has endpoints C(0,2) and D(4, -6). Part A: Determine the slope of AB and CD. Part B: Can line segments AB and CD be two opposite sides of a parallelogram? Explain your reasoning.​

slope of AB = -1/2

slope of CD = -2

No.

Step-by-step explanation:

slope of AB = (5-7)/(6-2) = -2/4=-1/2

slope of CD = (-6-2)/(4-0) = -8/4 =-2

for being two opposite sides of parallelogram, their slopes should be equal. But there slopes aren't equal

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!