Answer:
-1/2
Step-by-step explanation:
The point slope form of equation of a line is expressed as;
![y - y_{0} = m(x-x_0)](https://tex.z-dn.net/?f=y%20-%20y_%7B0%7D%20%3D%20m%28x-x_0%29)
m is the slope
(x₀, y₀) is the point on the line
Given
(x₀, y₀) = (1, 2)
Given the equation 3y = 2x - 4
Rewrite the equation
y = 2/3x - 4/3
mx = 2/3x
m = 2/3
The slope is 2/3
Substitute the slope and the point into the formula above
![y -y_0 =m(x-x_0)\\y - 2 = 2/3(x - 1)\\3(y-2) = 2(x-1)\\3y - 6 = 2x - 2\\Swap\\2x - 2 = 3y - 6\\2x - 3y = -6 + 2\\2x - 3y = -4\\x - 3/2 y = -4/2\\x - 3/2 y= -2](https://tex.z-dn.net/?f=y%20-y_0%20%3Dm%28x-x_0%29%5C%5Cy%20-%202%20%3D%202%2F3%28x%20-%201%29%5C%5C3%28y-2%29%20%3D%202%28x-1%29%5C%5C3y%20-%206%20%3D%202x%20-%202%5C%5CSwap%5C%5C2x%20-%202%20%3D%203y%20-%206%5C%5C2x%20-%203y%20%3D%20-6%20%2B%202%5C%5C2x%20-%203y%20%3D%20-4%5C%5Cx%20-%203%2F2%20y%20%3D%20-4%2F2%5C%5Cx%20-%203%2F2%20y%3D%20-2)
Compare the expression to x+(m+2)y=n−5
m + 2 = -3/2
m = -3/2 - 2
m = -7/2
Similarly
n - 5 = -2
n = -2 + 5
n = 3
m + n = -7/2 + 3
m + n = -1/2
hence the sum of m and n is -1/2
Pull The Terms From The Radical (x-7) & That's Your Answer
Its C, I have to type this to make it longer so yea its C cuh
Answer: J
Step-by-step explanation: Since that the square root of the number 82.25 approximately equals 9.09
Then logically it lies between the integers
9 and 10
The point that best represents 10 is point Q