This expression is a generic quadratic expression, so the first thing we need to look at is the last term (-40). Is it negative or positive? What are the factors of it? If the last term is negative, we know that one binomial is a subtraction while the other binomial is an addition. You may be asking, "an addition or subtraction of WHAT?" A binomial factored out of a quadratic expression would look something like this: (x + ____). The blank would equal a factor of the last term. In this case, a pair of factors that would fit is 8 and 5.
8x5 = 40 and -8 + 5 = -3.
Plug it into the binomial example I provided above and....
(x - 8)(x+5)=40
Voila! You have your factored quadratic expression, hope this helps!
Answer:
Step-by-step explanation:
So what you need to do is take the two points (1, -5) and (3, -1) and subtract them. You take y of the second group and subtract y of the first group.
-1 - (-5) = 4
Now you do the first numbers in each group with the second set being the number you subtract from.
3 - 1 = 2
Now you do 
. Rise = 4 Run = 2
= 2
Now the second part is saying y = 3x + c with your first set of numbers being x and y.
x = 1
y = -5
-5 = 3(1) + c
-5 = 3 + c
Subtract 3 from -5
-8 = c
The final answer is:
y = 3x - 8
-48 = 2x - 8y
-24 = x - 4y
4y = x + 24
y = (1/4)x + 6
Slope of the line
1/4
2xy + 5 - 8 + 3xy - y +7 + 3y = 5xy - 8 + 2y + 12
