Answer:
1/6 for 1 and 1/6 for 6
Step-by-step explanation:
Equation of a line is given by y - y1 = m(x - x1) where m is the slope and (x1, y1) is any point on the line.
y - (-2) = 4(x - 3)
y + 2 = 4x - 12
y = 4x - 12 - 2
y = 4x - 14
![\qquad \qquad\huge \underline{\boxed{\sf Answer}}](https://tex.z-dn.net/?f=%5Cqquad%20%5Cqquad%5Chuge%20%5Cunderline%7B%5Cboxed%7B%5Csf%20Answer%7D%7D)
Here's the solution ~
Let's find the measure of hypotenuse first, by using Pythagoras theorem ;
![\qquad \sf \dashrightarrow \: h {}^{2} = {8}^{2} + {6}^{2}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20h%20%7B%7D%5E%7B2%7D%20%20%3D%20%20%7B8%7D%5E%7B2%7D%20%20%2B%20%20%7B6%7D%5E%7B2%7D%20)
![\qquad \sf \dashrightarrow \: h {}^{2} = {36}^{} + {64}^{}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20h%20%7B%7D%5E%7B2%7D%20%20%3D%20%20%7B36%7D%5E%7B%7D%20%20%2B%20%20%7B64%7D%5E%7B%7D%20)
![\qquad \sf \dashrightarrow \: h {}^{2} = 100](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20h%20%7B%7D%5E%7B2%7D%20%20%3D%20100)
![\qquad \sf \dashrightarrow \: h {}^{} = \sqrt{100}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20h%20%7B%7D%5E%7B%7D%20%20%3D%20%20%5Csqrt%7B100%7D%20)
![\qquad \sf \dashrightarrow \: h {}^{} = {10}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20h%20%7B%7D%5E%7B%7D%20%20%3D%20%20%7B10%7D%20)
Now, let's find the asked values ~
![\qquad \sf \dashrightarrow \: \sin(x) = \dfrac{opposite \: side}{hypotenuse}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%5Csin%28x%29%20%3D%20%20%5Cdfrac%7Bopposite%20%5C%3A%20side%7D%7Bhypotenuse%7D%20%20)
![\qquad \sf \dashrightarrow \: \sin(x) = \dfrac{6}{10}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%5Csin%28x%29%20%3D%20%20%5Cdfrac%7B6%7D%7B10%7D%20%20)
![\qquad \sf \dashrightarrow \: \sin(x) = \dfrac{3}{5} \: or \: 0.6 \: units](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%5Csin%28x%29%20%3D%20%20%5Cdfrac%7B3%7D%7B5%7D%20%20%20%5C%3A%20or%20%5C%3A%200.6%20%5C%3A%20units)
For Cos y :
![\qquad \sf \dashrightarrow \: \cos(y) = \dfrac{adjcant \: side}{hypotenuse}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%5Ccos%28y%29%20%3D%20%20%5Cdfrac%7Badjcant%20%5C%3A%20side%7D%7Bhypotenuse%7D%20%20)
![\qquad \sf \dashrightarrow \: \cos(y) = \dfrac{6}{10}](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%5Ccos%28y%29%20%20%20%3D%20%5Cdfrac%7B6%7D%7B10%7D%20)
![\qquad \sf \dashrightarrow \: \cos(y) = \dfrac{3}{5} \: or \: 0.6 \: units](https://tex.z-dn.net/?f=%5Cqquad%20%5Csf%20%20%5Cdashrightarrow%20%5C%3A%20%20%5Ccos%28y%29%20%20%20%3D%20%5Cdfrac%7B3%7D%7B5%7D%20%20%5C%3A%20or%20%5C%3A%200.6%20%5C%3A%20units)
As we can see that both sin x and Cos y have equal values, therefore The required relationships is equality.
I.e Sin x = Cos y
Hope it helps ~
Hewwo dere fello citizen, The answer is 274 1/2cm! Rate me five stars and meow! :3
<u>e</u>
<u>measure of center</u>
as A measure that describes the typical value of a data set mean,median and mode.