Select the correct answer from each drop-down menu. The slope of the line passing through the points (7,5) and (21, 15) is : 5/7 , 7/5 , 5 or 7 ?

{ Another line with a slope that is one-third that of the slope you just calculated passes through the origin and the point

pick one from these :

3,5
3,7
21,5
21,7 }

here is your mark brainliest

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