This graph represents a linear function. Enter an equation in the form y = mx + b that represents the function described by the graph.

y=2x-2

Step-by-step explanation:

Step-by-step explanation:

To find the line y=mx+b we need two points. I choose (0,-2) and (1,0)

Since y=mx+b where m=slope and b=y intercept (value of y when x=0)

We have the point (0,-2) so we know b=-2

Now we find the slope which is defined as

m=(y2-y1)/(x2-x1), in this case

m=(0-(-2))/(1-0)

m=2, so the line is

y=2x-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.