If L(2, 7) is an endpoint of a line segment, and M(8, 3) is the midpoint, find the other endpoint of the segment.

Step-by-step explanation:

From L to M,

change in x-coordinates = 8-2 = 6

change in y-coordinates = 3-7 = -4

Extrapolate from M(8,3) to find the other end of the segment:

8 + 6 = 14

3 - 4 = -1

Endpoint of segment: (14,-1)

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.