So for each of the graphs, you basically just have to fill out slope form, which is y=my+b. And to make this equation, you need to find each variable.
First, find the slope. To calculate slope, count the rise (how many units up or down) the line goes from any point to the next immediate point, then the run (how many units left or right.) This should leave you with a fraction, rise/run. For example, on number 3, from labeled points (-5, -4) to (5,2) (double check cause it’s hard to see on my phone, but i think those are the points on 1??) it rises 6 units (-4 to 2) and runs 10 units (-5 to 5). This gives you your rise/run fraction, which is 6/10, simplified to 3/5.
So the slope fills out the m part of the equation. For 3, we found that slope is 3/5, and that fits into the m variable of the slope equation.
This makes it y=3/5x+b.
The last (and considerably less confusing) step is to find b. b is the y-intercept, which is just the point in the graph where the line crosses the y-axis and x=0. On 3, this would be (0,-1) or just -1.
So fill -1 into the b slot of the equation, and you get y=3/5x-1. And thats it!!
Let me know if you still need help on any of the other problems, but I hoped this helped to clear it up!! :)
I'll abbreviate the definite integral with the notation,

We're given
Recall that the definite integral is additive on the interval
, meaning for some
we have

The definite integral is also linear in the sense that

for some constant scalars
.
Also, if
, then

a. 
b. 
c. 
d. 
e. 
f. 
Answer:
x=-5, y=-2
Step-by-step explanation:
3x+2y= -19
-3x-5y= 25
Add the two equations together
3x+2y= -19
-3x-5y= 25
------------------
0x -3y = 6
Divide each side by -3
-3y/-3 = 6/-3
y = -2
Now find x
3x+2y = -19
3x +2(-2) =-19
3x-4 = -19
Add 4 to each side
3x -4+4 = -19+4
3x= -15
divide by 3
3x/3 = -15/3
x = -5
The inequality is still true! If you add a number, say 5 to both sides of the following inequality, does anything change?
3 < 6
3 + 5 < 6 + 5
8 < 11
The inequality is still true. We know the statement holds for subtracting the same number because, in a way, addition and subtraction are pretty much the same operation. If I subtract 5 from both sides, I can think of it like "I add negative 5 to both sides" or something along those lines. It's kind of backwards thinking.
Answer:
35 bagels
Step-by-step explanation:
Duh