Answer:y= 2x+7
Step-by-step explanation:
They are all pretty much want you to create the equation so the formula they want is y=mx+b format.
First problem(1,9) slope 2
Y=mx +b
Where y is 9,x is 1 and slope (m) is 2.
Now solve for b using equation
Y=mx +b
9= 2(1)+b
9=2+b
9-2=b
7=b
Now you can create equation
Y= 2x+7
Prob.4
(3,-6) and (-1,2)
First find slope
M= y2-y1/x2-x1
M= 2-(-6)/-1-3
M = 8/-4
M= -2
Your slope "m" is -2
Now do as problem 1 get one of the points and your slope to get equation .
(3,-6) slope -2
Y=mx+b
-6= -2(3)+b
-6= -6+b
-6+6=b
0=b
Y= -2x
Problem 7
(5,13) (10,14)
You solve this one as problem 4 same steps that I did above .
Problem 8 is also the same as steps in problem 4
( 2,160) and ( 2.75,220)
I hope this helps you
I don't know if we can find the foci of this ellipse, but we can find the centre and the vertices. First of all, let us state the standard equation of an ellipse.
(If there is a way to solve for the foci of this ellipse, please let me know! I am learning this stuff currently.)

Where

is the centre of the ellipse. Just by looking at your equation right away, we can tell that the centre of the ellipse is:

Now to find the vertices, we must first remember that the vertices of an ellipse are on the major axis.
The major axis in this case is that of the y-axis. In other words,
So we know that b=5 from your equation given. The vertices are 5 away from the centre, so we find that the vertices of your ellipse are:

&

I really hope this helped you! (Partially because I spent a lot of time on this lol)
Sincerely,
~Cam943, Junior Moderator
Answer: 
Step-by-step explanation:
Solve for v by simplifying both sides of the equation, then isolating the variable.
Formula: 
Plugin the variable: 
Solve:



The slope for the line is 3/4
To find the price of each cat, you would have to divide 433.35 by 81, which gives you $5.35 per each cat.