Ugh this is the worst 55559
Answer:
same x coordinate: R and M
same y coordinate: V and P, R and N
Step-by-step explanation:
Follow the instruction from the question and label all the coordinates on the graph. Based on the coordinates, you will find only two point contain the same x- coordinate. For the second part of the question, it says " same x and y coordinate" I am not sure what it is asking but if they want points that have the corresponding coordinate, then for this question it would be none. Because in order for points to have the exact coordinates of both x and y they have to overlap against each other.
ANSWER
![- \frac{16 \pi}{5} \: and \: \frac{14\pi}{5}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B16%20%5Cpi%7D%7B5%7D%20%20%5C%3A%20and%20%5C%3A%20%20%20%5Cfrac%7B14%5Cpi%7D%7B5%7D)
EXPLANATION
Coterminal angles are angles in standard position that have the same terminal side.
To find an angle in standard position that is coterminal with
![- \frac{6 \pi}{5}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B6%20%5Cpi%7D%7B5%7D%20)
We add or subtract multiples of
![2 \pi](https://tex.z-dn.net/?f=2%20%5Cpi)
The first addition gives,
![- \frac{6 \pi}{5} + 2 \pi = \frac{4 \pi}{5}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B6%20%5Cpi%7D%7B5%7D%20%20%2B%202%20%5Cpi%20%3D%20%20%5Cfrac%7B4%20%5Cpi%7D%7B5%7D%20)
We add the second multiple to get,
![- \frac{6 \pi}{5} +2( 2 \pi )= \frac{14 \pi}{5}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B6%20%5Cpi%7D%7B5%7D%20%20%2B2%28%202%20%5Cpi%20%29%3D%20%20%5Cfrac%7B14%20%5Cpi%7D%7B5%7D%20)
Since this is the maximum value among the options, we end the addition here.
Let us now subtract the first multiple to get,
![- \frac{6 \pi}{5} - 2 \pi = - \frac{16 \pi}{5}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B6%20%5Cpi%7D%7B5%7D%20%20-%20%20%202%20%5Cpi%20%3D%20%20%20-%20%5Cfrac%7B16%20%5Cpi%7D%7B5%7D%20)
We end the subtraction here because this is the least value among the options.
Therefore the angles that are coterminal with
![- \frac{6 \pi}{5}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B6%20%5Cpi%7D%7B5%7D%20%20)
are
Answer:
y = -3x - 3.
Step-by-step explanation:
Find the slope of the line JK:
Slope = (6-4)/(3- (-3))
= 2 / 6
= 1/3.
Therefore the slope of the line perpendicular to it is - 1 / 1/3
= -3.
Now we use the point-slope form of a line to get the required equation:
y - y1 = m(x - x1)
Here m = -3 and (x1, y1) = (3, -12) so we have
y - (-12) = -3(x - 3)
y + 12 = -3x + 9
y = -3x + 9 - 12
y = -3x - 3 is the answer.