After observing this pattern, felipe made a conjecture for the next number in the pattern.

8, 12, 16, 20, 24, …

which number was most likely his conjecture for the next number?

a.) 28

b.) 32

c.) 34

d.) 48

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)