Answer:
y =
x - 2
Step-by-step explanation:
Given coordinate:
( − 6 , − 1 )
Equation of the given line is 6x− y = 7
Unknown:
Equation of the line that passes through the point and is perpendicular = ?
Solution:
A perpendicular line will have a slope that is of negative inverse to the one given;
6x - y = 7
-y = -6x + 7
y = 6x - 7
According to y= mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
Therefore, the slope of the line = 6
Perpendicular to this =
The new line will be;
Let find the intercept;
-1 =
x (-6) + c
-1 = 1 + c
c = -2
The new line is;
y =
x - 2
The inverse is:

Further explanation:
Given function

<u>Step 1: Replacing f(x) with y</u>

<u>Step 2: Replacing x with y and y with x</u>

<u>Step 3: Solving the equation for y</u>

<u>Step 4: Replacing y with f-1(x)</u>

So, the inverse is:

Keywords: Functions, Inverse of function
Learn more about inverse of functions at:
#LearnwithBrainly
I believe the answer is "A"
Assume the second number is x, then the other two are x - 2, x + 2
So x-2 + x + x + 2 = 51
-> 3x = 51
-> x = 17