What are the coordinates of the midpoint of the line segment with endpoints 2,-5) and (8,3)

(5, -1)

Step-by-step explanation:

Add the x-coordinates and divide by 2.

Add the y-coordinates and divide by 2.

x-coordinate of midpoint: (2 + 8)/2 = 10/2 = 5

y-coordinate of midpoint: (-5 + 3)/2 = -2/2 = -1

Midpoint: (5, -1)

The midpoint of a segment divides the segment into equal halves.

The coordinates of the midpoint of the line segment is (5,-1)

The coordinates of the line segment given as:

The midpoint (m) is calculated using

So, we have:

Simplify

Divide 10 and -2 by 2

Hence, the coordinates of the midpoint of the line segment is (5,-1)

Read more about midpoints at:

link

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.

a: 1/6, j: 1/4

step-by-step explanation: you are welcome