Can someone help with this midpoint question

(5/2,-7/2) (C)

Step-by-step explanation:

The formula for midpoint is to add the coordinates, then divide by two (like average).

So first, take the x-coordinates, and (1+4)/2=5/2

Then, take the y-coordinates, and (-1-6)/2=-7/2

So the answer is (5/2,-7/2)

I hope this helped!

P.S. Please mark this as brainliest!

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.