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![m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{5 - (-1)}{-1 - 3} = \frac{5 + 1}{-4} = \frac{6}{-4} = \frac{3}{-2} = -1\frac{1}{2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_%7B2%7D%20-%20y_%7B1%7D%7D%7Bx_%7B2%7D%20-%20x_%7B1%7D%7D%20%3D%20%5Cfrac%7B5%20-%20%28-1%29%7D%7B-1%20-%203%7D%20%3D%20%5Cfrac%7B5%20%2B%201%7D%7B-4%7D%20%3D%20%5Cfrac%7B6%7D%7B-4%7D%20%3D%20%5Cfrac%7B3%7D%7B-2%7D%20%3D%20-1%5Cfrac%7B1%7D%7B2%7D)
y - y₁ = m(x - x₁)
y - (-1) = -1¹/₂(x - 3)
y + 1 = -1¹/₂(x) + 1¹/₂(3)
y + 1 = -1¹/₂x + 4¹/₂
- 1 - 1
y = -1¹/₂x + 3¹/₂
4x + y - 2 = 0
+ 2 + 2
4x + y = 2
4x - 4x + y = -4x + 2
y = -4x + 2
y - y₁ = m(x - x₁)
y - (-3) = -4(x - 4)
y + 3 = -4(x) + 4(4)
y + 3 = -4x + 16
- 3 - 3
y = -4x + 13
2x - 3y - 5 = 0
+ 5 + 5
2x - 2x - 3y = -2x + 5
-3y = -2x + 5
-3 -3
y = ²/₃x - 1²/₃
y - (-3) = -1¹/₂(x - 4)
y + 3 = -1¹/₂(x) + 1¹/₂(4)
y + 3 = -1¹/₂x + 6
- 3 - 3
y = -1¹/₂x + 3
Answer:
$3.25x + $6.50y= $25
She can visit the movie theater 2 times
Step-by-step explanation:
so $3.25 + $6.50= $9.75
$9.75x2= $19.5
So she can only go 2 times
The amount of vacation hours he has can be modeled with the equation V = .25w + 10, in which V is equal to vacation days and d is equal to the number of weeks he worked.
We can tell this because he gets 10 days off no matter what. This is called a constant and is always added to the end of the equation.
We can also tell this because the number of weeks he worked gets multiplied by a quarter of a day. Therefore, he gets a vacation day for every 4 weeks he works.
This model will successfully tell you how many he has at the end of the year.
Answer:
(x - 4)^2 + (y + 1)^2=9
Step-by-step explanation:
The equation of a circle can be written using a kinda of fill-in-the-blank method if you know the coordinates of the center and the radius.
If the center is (h,k) and the radius is r, then fill in those given numbers into:
(x-h)^2 + (y-k)^2 =r^2
The center of your circle is (4, -1).
Fill in 4 for the h, -1 for the k and 3 for the r.
(x-4)^2+(y- -1)^2= 3^2
Simplify.
(x-4)^2+(y+1)^2=9