Y = 2x + 4
2x - y = 6

y < 2x + 4  is a dashed line that crosses the y - axis at (0,4) and is shaded below the line.

-3x - 2y ≥ 6 when solved for y: y ≤ -3/2x - 3

is a solid line that crosses the y-axis at (0, -3) and is shaded below the line

Problem 2:

first inequality is mentioned in problem 1

second inequality: 2x - y ≤ 4 when solved for y:  y ≥ 2x - 4

is a solid line that crosses the y- axis at (0, -4) and is shaded above the line

It is parallel to the first line because they have the same slope

Step-by-step explanation:

y < 2x + 4  is a dashed line that crosses the y - axis at (0,4) and is shaded below the line.

-3x - 2y ≥ 6 when solved for y: y ≤ -3/2x - 3

is a solid line that crosses the y-axis at (0, -3) and is shaded below the line

Problem 2:

first inequality is mentioned in problem 1

second inequality: 2x - y ≤ 4 when solved for y:  y ≥ 2x - 4

is a solid line that crosses the y- axis at (0, -4) and is shaded above the line

It is parallel to the first line because they have the same slope

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.