Find the missing value so that the two points have a slope 1/2
(7, 2 )and (3,y)

The missing y -coordinate is 0.

Step-by-step explanation:

Here we know the slope but must find the y-coefficient of one of the points.

                                                         y - 2

The slope is m = 1/2 = rise / run =

                                                         3 - 7

                y - 2

or   1/2 =           which simplifies to   -2 = y - 2, which yields y = 0.

                   -4

The missing y -coordinate is 0.

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