What is the slope on this question

The slope for this equation is 1/2.

In order to find this, we simply use the slope formula with two points. We'll use the first two points in the table.

m = (y2 - y1)/(x2 - x1)

m = (26 - 25)/(6 - 4)

m = 1/2

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.