What is the slope of the line that passes through the points (4, -6) and (-5, 9)?
-5/3
-3/5
1/3
5/3

Step-by-step explanation:

(4, -6) and (-5, 9)

Slope is m

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

y2 = 9, y1 = -6, x2 = -5 and x1 = 4

m = {9-(-6)}/{-5 -4}

m = {9+6}/(-9)

m = 15/-9

m = -5/3

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.