We know that the graph of a function is a line that passes through the coordinates (2, 11) and (8, 14) and we must find the equation for the line.
1. We must use the next formula to find the slope

Where (x1, y1) and (x2, y2) are the points.
Now, replacing the points in the formula for the slope

2. We must replace the slope and one of the points in the next formula

Now, replacing the slope and the point (2, 11)

3. We must delete the parenthesis and solve the equation for y

ANSWER:
Answer:
10
Step-by-step explanation:
Here we go!
Slope Formula:

What we know: (-4, -52) and (-1, -22)
Plug in the numbers!

Fix it!

Add

Divide
(negative divided by a negative is a positive!!)
Slope is 10
Hope this helps!
Answer:
It is a function
Step-by-step explanation:
This isn't really a step by step explanation but I'm going to explain this simply. An output can have as many inputs possible but an input can only have ONE OUTPUT(just putting emphasis on this one output, I'm not yelling). Example, the input "2" can be equal to the output of "4" depending on the equation the fuction, however, the input of "2" CAN NOT be equal to the outputs of "4" and "6" because as my Algebra teacher explained it "for every input, there is exactly one output". I hope this helps and I hope I didn't lose you in my explaination.
Micah was asked to add the following expressions:

First, he combined like terms in the numerator and kept the common denominator
First step is correct. He added the like terms in the numerator, because the denominators are same.

So he got , 
In the next step, he cannot cancel out x^2 from the top and bottom . Because x-4 and 3x+2 are added with x^2
If we have x^2 is multiplied with other terms at the top and bottom , then we can cancel out x^2.
So Micah added the expression incorrectly. Final answer is not correct.
(2x+1)(x+5) is the answer.