Pls someone pls help me with this question pls
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Hello!
The problem has asked that we write a point-slope equation of the line in the image above. Point-Slope Form uses the following formula:
y –
= m(x – 
)
In this case, M represents the slope while
and 
represent the corresponding X and Y values of any given point on the line.
We are given that the slope of the line is -
. We also know that any given point on a graph takes the form (x,y). Based on the single point provided in the image above, we can determine that 
is equal to 6 and 
is equal to 2. Now insert all known values into the point-slope formula above:
y – 2 = -(x – 6)
We have now successfully created an equation based on the information given in the problem above. Looking at the four possible options, we can now come to the conclusion that the answer is C.
I hope this helps!
The problem has asked that we write a point-slope equation of the line in the image above. Point-Slope Form uses the following formula:
y –
In this case, M represents the slope while
We are given that the slope of the line is -
y – 2 = -
We have now successfully created an equation based on the information given in the problem above. Looking at the four possible options, we can now come to the conclusion that the answer is C.
I hope this helps!
The other endpoint is (1, -17).
The midpoint formula is:
Using our midpoint and endpoint, we have:
For the first equation (to find the x-coordinate) we will multiply both sides by 2:
Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂
For the second equation (the y-coordinate) we multiply both sides by 2:
Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂
This means that (x₂, y₂) is at (1, -17).
The midpoint formula is:
Using our midpoint and endpoint, we have:
For the first equation (to find the x-coordinate) we will multiply both sides by 2:
Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂
For the second equation (the y-coordinate) we multiply both sides by 2:
Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂
This means that (x₂, y₂) is at (1, -17).
1) Inverse function:
2)
3)
Step-by-step explanation:
1)
In this first method, we want to find the inverse function of .
The original function is:
We rewrite it as
We swap the name of the variables:
Adding +4 on both sides:
And dividing by 3 on both sides:
which is identical to :
2)
In this second method, we want to use the output of one function as input to the other function, and show that the output value is equal to the imput value.
We start using the function
We choose . We find:
Now we use this output value as input in the function
Substituting ,
So, the final output value (1) is equal to the input value (1).
3)
Here we want to verify that the two are inverse functions by showing that
We have
Substituting g(x) into f(x),
Viceversa, we want to show that
Substituting g(x) into f(x), we get
So, the two functions are one the inverse of the other.
Learn more about inverse functions:
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