Since all the options are in the slope intercept form, we find the equation using the formula,
![y = mx + c](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20c)
We can find m, the slope using the formula,
![m = \frac{ change \: in \: y }{change \: in \: x}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%20change%20%5C%3A%20in%20%5C%3A%20y%20%7D%7Bchange%20%5C%3A%20in%20%5C%3A%20x%7D%20)
![m = \frac{ - 5 - - 3}{4 - - 2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%20-%205%20-%20-%203%7D%7B4%20-%20-%202%7D%20)
![m = \frac{ - 2}{6} = - \frac{1}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%20-%202%7D%7B6%7D%20%3D%20-%20%5Cfrac%7B1%7D%7B3%7D%20)
On substitution,
![y = - \frac{ 1}{3} x + c](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%7B%201%7D%7B3%7D%20x%20%2B%20c)
We use any of the points, say (-2,-3) to determine the value of c.
![- 3 = - \frac{1}{3} ( - 2) + c](https://tex.z-dn.net/?f=%20-%203%20%3D%20-%20%5Cfrac%7B1%7D%7B3%7D%20%28%20-%202%29%20%2B%20c)
![c = - \frac{11}{3}](https://tex.z-dn.net/?f=c%20%3D%20-%20%5Cfrac%7B11%7D%7B3%7D%20)
The equation is therefore,
![y = - \frac{1}{3} x - \frac{11}{3}](https://tex.z-dn.net/?f=y%20%3D%20-%20%5Cfrac%7B1%7D%7B3%7D%20x%20-%20%5Cfrac%7B11%7D%7B3%7D%20)
The correct answer is D.
Answer:
Step-by-step explanation:
x + 6y = 9
-x + 2y = -15
-------------------add
8y = - 6 <=== u see that the x terms cancel each other out
Answer:
x=12
Step-by-step explanation: brainest pls
Anything times 0 is zero.
What number plus zero is equal to 7? 7.
Two numbers that add to 7 and multiply to 0 are 0 and 7.
0 x 7 = 0
0 + 7 = 7