Answer:
Step-by-step explanation:
When given points, whether that be on a graph or a table, those can be used to find the slope using the equation y2 - y1 / x2 - x1.
y2 - y1 / x2 - x1
(Pick 2 pairs if points. In this case I am using (2, -1) and (-1, 3) from your data table. From here, just plug it in.
-1 - 3 / 2 + 1
-4 / 3
Your slope is -4/3. Hope that helps! Take care.
The answer is 2.5, but if you say it isn't then maybe it can be as a fraction
or
.
Answer:
-8,-6,-4,-2,0,2
Step-by-step explanation:
Here its subtracted 2
When v minus - 8 with 2 it vil be - 6 nd repeat again
Answer:
---- critical point
local minima
Step-by-step explanation:
Given
![f(x,y) = x^2 + y^2 + 2xy](https://tex.z-dn.net/?f=f%28x%2Cy%29%20%3D%20x%5E2%20%2B%20y%5E2%20%2B%202xy)
Required
Determine the critical point
Differentiate w.r.t x
![f_x =2x + 2y](https://tex.z-dn.net/?f=f_x%20%3D2x%20%2B%202y)
Differentiate w.r.t y
![f_y =2y + 2x](https://tex.z-dn.net/?f=f_y%20%3D2y%20%2B%202x)
Equate both to 0
![2x + 2y =0](https://tex.z-dn.net/?f=2x%20%2B%202y%20%3D0)
![2y =0-2x](https://tex.z-dn.net/?f=2y%20%3D0-2x)
![2y =-2x](https://tex.z-dn.net/?f=2y%20%3D-2x)
Divide by 2
----- in both equations
Hence:
The critical point is: ![y =-x](https://tex.z-dn.net/?f=y%20%3D-x)
Solving (b):
We have:
![f_x =2x + 2y](https://tex.z-dn.net/?f=f_x%20%3D2x%20%2B%202y)
![f_y =2y + 2x](https://tex.z-dn.net/?f=f_y%20%3D2y%20%2B%202x)
This is represented as:
![D = \left[\begin{array}{cc}2&2\\2&2\end{array}\right]](https://tex.z-dn.net/?f=D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%262%5C%5C2%262%5Cend%7Barray%7D%5Cright%5D)
Calculate the determinant
![|D| =2 * 2 -2 * 2](https://tex.z-dn.net/?f=%7CD%7C%20%3D2%20%2A%202%20-2%20%2A%202)
![|D| = 4-4](https://tex.z-dn.net/?f=%7CD%7C%20%3D%204-4)
![|D| = 0](https://tex.z-dn.net/?f=%7CD%7C%20%3D%200)
The critical point is at local minima
Answer:
the slope intercept form is: y = x+2
Step-by-step explanation:
The general form of point slope form is : y-y₁ = m(x-x₁)
The given equation is: y – 3 = (x – 1)
comparing we get,
m = 1
and solving the equation;
y-3 = x-1
Adding +3 on both sides
y = x-1+3
y=x+2
The general formula of slope-intercept form is : y = mx+b
where m is the slope and b is the y-intercept
so, y = x+2
where m =1 and b=2
so, the slope intercept form is: y = x+2