To write the function correctly, it is important to assign variables correctly and understand the situation of the problem clearly. For this, we let y the number of people and x as the number of songs played.
At x = 0 y = 567
at x = 1 y = 567 - 567(1/3)
at x = 2 y = 567 - 567(1/3)(1/3)
at x = 3 y = 567 - 567(1/3)(1/3)(1/3)
Therefore, the number of people left after x songs would be represented by the equation:
y = 567 - 567(1/3)x
y = 567 ( 1- x/3 )
Point-slope form of equation is: 
Step-by-step explanation:
Given points are:
(2,-8) and (1,7)
First of all we have to calculate the slope of the line
so,

Point-slope form is given by:

Putting the value of slope

We can put any one of two given points in the equation to find the final form of point-slope form
So
Putting (1,7) in the equation

Hence, point-slope form of equation is: 
Reducing and simplifying

Keywords: Point-slope form, equation of line
Learn more about equation of line at:
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Answer:
X=20
Step-by-step explanation:
Sin(x+20)=cos(2x+10)
Sin(x+20)=sin(90-(2x+10)
X+20=90-2x-10
3x=60
X=20