What is the slope of the line in the graph shown below?

See below in bold.

Step-by-step explanation:

The slope is calculated from the 2 points (0,3) and (1,1).

Slope = difference in y values /  difference in corresponding  x values:

Slope = (3 - 1) / (0 - 1) = -2.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is