60 points! Will mark brainliest! I only want the correct answer please. Random answers will be reported

First Option: y = 1/2x + 8

Step-by-step explanation:

for lines to be parallel they must have the same slopes

the answer to the question is a  

it has the same slope and the same y-intercept.

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