Part (a)
Since point E is on segment AD, this means the slope of ED is the exact same as the slope of AD.
Use the slope formula to calculate the slope of AD.
m = (y2-y1)/(x2-x1)
m = (7-2)/(4-0)
m = 5/4
Answer: 5/4
====================================================
Part (b)
The same idea and steps apply as part (a)
Answer: 5/4
====================================================
Part (c)
The x coordinates are the same, so we subtract the y coordinates to find the distance between C and D, which is the length of segment DC.
7-2 = 5
Answer: 5 units
====================================================
Part (d)
This time, the y coordinates are the same. We'll subtract the x values
4-2 = 2
Answer: 2 units
====================================================
Part (e)
Same idea as part (d), just different numbers this time.
2-0 = 2
Answer: 2 units