<u><em>The additive identity property </em></u>. . . is being used here because no matter what the value is, whenever you add zero (0) to it, you'll always get the value your started with.
First write the equation in slope-intercept form which is more commonly known as <em>y = mx + b</em> form where the <em>m </em>or the coefficient of the x term represents the slope of the <em>b</em> or the constant term represents the y-intercept.
Subtract 2x from both sides to get <em>y = -2x - 4</em>.
I put the x term first because that's how it is in y = mx + b form.
Now we can see that the <em>b</em> or the constant term is -4.
We can write this as the ordered pair (0, -4).
Keep in mind when writing a y-intercept as an ordered pair, your x-coordinate will always be 0 in the ordered pair.
Answer:
The correct answer is y = 12x + 9
Step-by-step explanation:
There is a formula called y = mx + b where m is the slope and b is the y-intercept
The y-intercept is 9 so y = mx + 9
The slope is 12/1 or just 12 so y = 12x + 9
Answer:
no
Step-by-step explanation:
It should be less then or equal too, seeing as they want to reach all the way across the room.
Answer:

Since the measurement can't be negative the correct answer for this case would be 
Step-by-step explanation:
Let's assume that the figure attached illustrate the situation.
For this case the we know that the original area given by:

And we know that the initial area is a half of the entire area in red
, so then:

And we know that the area for a rectangular pieces is the length multiplied by the width so we have this:

We multiply both terms using algebra and the distributive property and we got:

And we can rewrite the expression like this:

And we can solve this using the quadratic formula given by:

Where
if we replace we got:

And the two possible solutions are then:

Since the measurement can't be negative the correct answer for this case would be 