1) One equation of a system of equations is 5x + 2y = 10. What is the second equation such that the system is independent?

A) x = -2/5y + 2

B) y = -5/2x + 15

C) y = 5/2x + 5

D) y = -5/2x + 5

2) What is the equation of y = |x| translated 1 unit up and 6 units to the left?

A) y = |x + 6| + 1

B) y = |x – 1| + 6

C) y = |x – 6| + 1

D) y = |x + 1| + 6

3) Which statement describes the relationship between the graph of the equation
y=|x/2| and the graph of the equation y=|x/2| +4 ?

A) The graph of y=|x/2| was shifted 4 units to the right.

B) The graph of y=|x/2| was shifted 4 units to the left.

C) The graph of y=|x/2| was shifted 4 units up.

D) The graph of y=|x/2| was shifted 4 units down.

Answer all questions and please show work :)

1) You are supposed to solve for y from the given equation also know as slope-intercept form ... which is y = mx + b

5x + 2y = 10

Start by subtracting 5x from both sides....

2y = - 5x + 10

Divide both sides by 2 to get y by its self...

y = - 5/2 + 5 is the answer

2) A) y = |x + 6| + 1

Because the graph moved 6 to the left and 1 up

3) The graph of y=|x/2| was shifted 4 units up

From y=|x/2| to the graph of the equation y=|x/2| +4

The formula is f(x) = a ( x - h ) + k

k represents y value .... In the coordinate plane y values go up and down..

h represents x value .... In the coordinate plane x values go right and left

For example ..... f(x) = a ( x - 5 ) + 4

Means that the graph moved 5 to the right and 4 units up..