What is the slope of the line?y=1/3x+2

THis equation is in slope-intercept form (y=mx+b)

in this equation m represents the slope.

Therefore 1/3 is the slope

1/3

Step-by-step explanation:

m = 1/3

Step-by-step explanation: Since the equation of this line is written

in slope-intercept or y = mx + b form, its slope or m is represented

by the coefficient of the x term which in this case is 1/3.

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