D) landing on a number greater than 10
Answer:
![y + 10 = \frac{1}{4 } (x + 12)](https://tex.z-dn.net/?f=y%20%2B%2010%20%3D%20%20%5Cfrac%7B1%7D%7B4%20%7D%20%28x%20%2B%2012%29)
Or
![y =\frac{1}{4 } x -7](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B1%7D%7B4%20%7D%20x%20-7)
Step-by-step explanation:
We need to find the slope using the points (-4,5) and (8,8).
The slope formula is given by:
![m= \frac{y_2 -y_1 }{x_2 -x_1 }](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7By_2%20-y_1%20%7D%7Bx_2%20-x_1%20%7D%20)
We plug in the values to get:
![m = \frac{8 - 5}{8 - - 4}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B8%20-%205%7D%7B8%20-%20%20-%204%7D%20)
![m = \frac{3}{12} = \frac{1}{4}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B3%7D%7B12%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D%20)
Parallel lines have the same slope.
Using the point slope formula, the equation is given by:
![y -y_1 = m(x -x_1 )](https://tex.z-dn.net/?f=y%20-y_1%20%20%3D%20m%28x%20-x_1%20%29)
We substitute the point (-12,-10) to get;
![y - - 10 = \frac{1}{3} (x - - 12)](https://tex.z-dn.net/?f=y%20-%20%20-%2010%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%28x%20-%20%20-%2012%29)
![y + 10 = \frac{1}{4 } (x + 12)](https://tex.z-dn.net/?f=y%20%2B%2010%20%3D%20%20%5Cfrac%7B1%7D%7B4%20%7D%20%28x%20%2B%2012%29)
Or
![y =\frac{1}{4 } x -7](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B1%7D%7B4%20%7D%20x%20-7)
Answer:
D
Step-by-step explanation:
Answer:
c
Step-by-step explanation: