PLEASE HELP Which graph shows equivalent ratios?

A. On a coordinate plane, a line goes through (0, 0) and (3, 1).
B. On a coordinate plane, a line goes through (0, 5) and (3, 3).
C. On a coordinate plane, a line goes through (0, 2) and (2, 3).
D. On a coordinate plane, a line goes through (0, 6) and (4, 5).

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

the second option

step-by-step explanation: