Answer:
y = - 8
Step-by-step explanation:
y - 16 - 3y = 0
Group like terms
y - 3y - 16 = 0
Add similar elements: y - 3y = - 2y
- 2y - 16 = 0
Add 16 to both sides
- 2y - 16 + 16 = 0 + 16
Simplify
- 2y = 16
Divide both sides by - 2
= ![\frac{16}{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B-2%7D)
Simplify
: y
![\frac{-2y}{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B-2y%7D%7B-2%7D)
Apply the fraction rule: ![\frac{-a}{-b} = \frac{a}{b}](https://tex.z-dn.net/?f=%5Cfrac%7B-a%7D%7B-b%7D%20%20%3D%20%5Cfrac%7Ba%7D%7Bb%7D)
= ![\frac{2y}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2y%7D%7B2%7D)
Divide the numbers: ![\frac{2}{2} = 1](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B2%7D%20%20%3D%201)
= y
Simplify
: - 8
![\frac{16}{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B-2%7D)
Apply the fraction rule: ![\frac{-a}{-b} = \frac{a}{b}](https://tex.z-dn.net/?f=%5Cfrac%7B-a%7D%7B-b%7D%20%20%3D%20%5Cfrac%7Ba%7D%7Bb%7D)
![-\frac{16}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B16%7D%7B2%7D)
Divide the numbers:
= 8
= - 8
y = - 8
A) For the equation
![y=- \frac{1}{2}x+3](https://tex.z-dn.net/?f=y%3D-%20%5Cfrac%7B1%7D%7B2%7Dx%2B3)
, the slope is
![- \frac{1}{2}](https://tex.z-dn.net/?f=-%20%5Cfrac%7B1%7D%7B2%7D%20)
.
Slope-intercept form is y = mx + b, where m is slope and b is the y-intercept. This means that if
![m=- \frac{1}{2}](https://tex.z-dn.net/?f=m%3D-%20%5Cfrac%7B1%7D%7B2%7D%20)
, the slope is
![- \frac{1}{2}](https://tex.z-dn.net/?f=-%20%5Cfrac%7B1%7D%7B2%7D%20)
.
B) Since this equation is in the same form, you just find what m is equal to.
Since
![m=2](https://tex.z-dn.net/?f=m%3D2)
, that's the slope.
For the solution, set
![y=- \frac{1}{2}x+3](https://tex.z-dn.net/?f=y%3D-%20%5Cfrac%7B1%7D%7B2%7Dx%2B3)
equal to
![y=2x-4](https://tex.z-dn.net/?f=y%3D2x-4)
, so it would be put together like this:
![y=[tex]- \frac{1}{2}x+3=2x-4\\ -\frac{1}{2}=2x-7\\ 1\frac{1}{2}x=-7\\ x=-4.66667](https://tex.z-dn.net/?f=y%3D%5Btex%5D-%20%5Cfrac%7B1%7D%7B2%7Dx%2B3%3D2x-4%5C%5C%20-%5Cfrac%7B1%7D%7B2%7D%3D2x-7%5C%5C%201%5Cfrac%7B1%7D%7B2%7Dx%3D-7%5C%5C%20x%3D-4.66667)
So your answer is
-4.667.
Answer:
y= -1/3x - 2/3
Step-by-step explanation:
y- intercept is (0, -2/3) and the x intercept is (0, -2).
To find the slope of an equation, you do rise over run. To get from (0, -2/3) to (0, -2), you rise 2/3 and run -2. 2/3 divided by -2 is -1/3, that is where you get the slope from.
Answer:
d is the correct answer
Step-by-step explanation: