Branliest if correct

a-

b- 2

c-

d- the slope is undefined

C

Step-by-step explanation:

Take any of two points in the line (e.g.,  (-10, 2), (-5, 0) )

The vector of this line is (-5 - (-10), 0 - 2) = (5, -2)

0 is its x and y coordinate

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