Answer:
The equation of the parallel line would be y = -1/2x + 1
Step-by-step explanation:
To start we need to find the slope of the original line. We can do that by solving for y.
x + 2y = -4
2y = -x - 4
y = -1/2x - 2
Since the slope of the original line is -1/2 and parallel lines have the same slope, we know the new line will also have -1/2 slope. Now we can use that along with the point given in point-slope form to get the find equation.
y - y1 = m(x - x1)
y - 5 = -1/2(x + 8)
y - 5 = -1/2x - 4
y = -1/2x + 1
Answer:
B. Step 4 is incorrect , it should be 
Step-by-step explanation:
6x-1= -2x+9
Step 1
Collect like terms and change signs if you move anything from one side to the other; 6x+2x = 9+1
Step 2: Add like terms on both sides
8x = 10
Step 3: To remain with just x on one side, divide both sides by 8 and it becomes;

The two 8s cancel each other and you remain with 
Answer:
2 + (-7) = (-5)
Step-by-step explanation:
Correct problem and method of solving, just miscounted!
It should be + (-7) instead of + (-6).
This also changes the answer to (-5) instead of (-4).
C. 52
Work:
(5x - 22) + (4x + 4) = 90
9x - 18 = 90
9x = 108
x = 12
4(12) + 4 =
48 + 4 = 52