Answer:
![\boxed{m = - \frac{33}{14} }](https://tex.z-dn.net/?f=%5Cboxed%7Bm%20%3D%20-%20%5Cfrac%7B33%7D%7B14%7D%20%7D)
.
Step-by-step explanation:
Use the form below
![\boxed{\boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7Bm%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%7D%7D)
Where
is a slope
and
are the point of the line
.
So, the slope is
![(\frac{1}{3} ,~ -1) \to x_1 = \frac{1}{3} ~and~y_1 = -1](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B3%7D%20%2C~%20-1%29%20%5Cto%20x_1%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20~and~y_1%20%3D%20-1)
![(-2,~ \frac{9}{2} ) \to x_2 = -2~and~y_2 = \frac{9}{2}](https://tex.z-dn.net/?f=%28-2%2C~%20%5Cfrac%7B9%7D%7B2%7D%20%29%20%5Cto%20x_2%20%3D%20-2~and~y_2%20%3D%20%5Cfrac%7B9%7D%7B2%7D)
.
![m = \frac{\frac{9}{2} -(-1)}{-2-\frac{1}{3} }](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%5Cfrac%7B9%7D%7B2%7D%20-%28-1%29%7D%7B-2-%5Cfrac%7B1%7D%7B3%7D%20%7D)
![m = \frac{\frac{11}{2} }{\frac{-7}{3} }](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%5Cfrac%7B11%7D%7B2%7D%20%7D%7B%5Cfrac%7B-7%7D%7B3%7D%20%7D)
![m = \frac{11}{2} \div (-\frac{7}{3} )](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B11%7D%7B2%7D%20%5Cdiv%20%28-%5Cfrac%7B7%7D%7B3%7D%20%29)
![m = \frac{11}{2} \times (-\frac{3}{7} )](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B11%7D%7B2%7D%20%5Ctimes%20%28-%5Cfrac%7B3%7D%7B7%7D%20%29)
![m = - \frac{33}{14}](https://tex.z-dn.net/?f=m%20%3D%20-%20%5Cfrac%7B33%7D%7B14%7D)
.
Happy to help:)
10/2 is an improper fraction. So, change it to a mixed number. 10÷2=5
5 is the mixed number and is the equivalent fraction. You can also do 5/1 which is also equivalent.
Answer:
D.7
Step-by-step explanation:
![4 - ( - 3) = 4 + 3(because \: - \times - ) \: it \: is \: positive \\ = 7](https://tex.z-dn.net/?f=%204%20-%20%28%20-%203%29%20%3D%204%20%2B%203%28because%20%5C%3A%20%20-%20%20%5Ctimes%20%20-%20%29%20%5C%3A%20it%20%5C%3A%20is%20%5C%3A%20positive%20%5C%5C%20%20%3D%207)
Answer:
-1
Step-by-step explanation:
-4(y-2)=12
-4y+8=12
-4y=4
y= -1
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