Write an equation for the line slope-intercept form

The equation in slope-intercept form is:

Step-by-step explanation:

-First, look for a two points on a graph:

First point:

Second Point:

-Since the line is pointing up, then its telling us that it's positive. So, to start from point to point , you need to count how far distance between those two points by using rise over run:

-After you have found the slope, find the y-intercept.

-The definition for y-intercept, is a line that crosses the y-axis.

y-intercept:

After you found both the slope and the y-intercept, use them for the slope-intercept form:

The slope-intercept form:

(where represents the slope and represents the y-intercept).

-The equation in slope-intercept form:

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.