Answer:
her inequality is incorrect
the number of hours is greater than or equal to 6
(not sure about the first two questions cause the question is kinda confusing. just know that the inequality in the question represents "x is less than or equal to 6")
their number line is incorrect
the number line is correctly filled in
the lien should be shaded to the left
Answer:
Parallel line:

Perpendicular line:

Step-by-step explanation:
we are given equation 4x+5y=19
Firstly, we will solve for y

we can change it into y=mx+b form


so,

Parallel line:
we know that slope of two parallel lines are always same
so,

Let's assume parallel line passes through (1,1)
now, we can find equation of line

we can plug values

now, we can solve for y

Perpendicular line:
we know that slope of perpendicular line is -1/m
so, we get slope as

Let's assume perpendicular line passes through (2,2)
now, we can find equation of line

we can plug values

now, we can solve for y
