Aline that includes the points (- 3, - 10) and (- 4,v) has a slope of - 4. what is the value of v?

The value of v with given slop and points is - 6

Step-by-step explanation:

Given as :

Let x and y be the points of a line

So, x = ( - 3 , - 10 )    And  y = ( - 4 , v )

The given slop of line XY is - 4

Now, from slop equation :

Slop =

Or, - 4 =

Or, - 4 =  

Or, v + 10 = ( -4 ) × (- 1 )

Or, v + 10 = 4

∴    v = 4 - 10 = - 6

Hence The value of v with given slop and points is - 6      Answer  

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.