Answer:
the answer is C.) Honduras
Answer:
Step-by-step explanation:
r = ![\frac{a_n}{a_{n-1}} = \frac{896}{3584} = \frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Ba_n%7D%7Ba_%7Bn-1%7D%7D%20%3D%20%5Cfrac%7B896%7D%7B3584%7D%20%3D%20%20%5Cfrac%7B1%7D%7B4%7D)
Using the geometric series formula for the <em>n</em>th term:
![S_n = a \cdot \frac{1-r^n}{1-r} => S_{6} = 3584 \cdot \frac{1 - (\frac{1}{4})^{6} }{1 - \frac{1}{4} } = 4777\frac{1}{2}](https://tex.z-dn.net/?f=S_n%20%3D%20a%20%5Ccdot%20%5Cfrac%7B1-r%5En%7D%7B1-r%7D%20%3D%3E%20S_%7B6%7D%20%3D%203584%20%5Ccdot%20%5Cfrac%7B1%20-%20%28%5Cfrac%7B1%7D%7B4%7D%29%5E%7B6%7D%20%7D%7B1%20-%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%20%3D%204777%5Cfrac%7B1%7D%7B2%7D)
Answer:
y=-1/4x
Step-by-step explanation:
METHOD 1: The basic slope-intercept equation is <em>y=ax+b</em>. To achieve the slope with two points, this is the equation:
![m = \frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
All you have to do is insert points (-4, 1) and (4, -1) into their corresponding locations.
![m = \frac{(-1)-1}{4-(-4)}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%28-1%29-1%7D%7B4-%28-4%29%7D)
With this equation, you will be able to find the slope. Then you can simply graph it to connect the two dots.
METHOD 2: Simply connect the two dots with a straight line (use a ruler or something with a straight edge.) Then count how many spaces up/down and left/right. If the line goes from top to bottom from left to right, it is a negative slope (hence, the -1/4.)