First, let's find the slope of the line from the points given.
m = (4 - - 2) / (3 - 1)
m = 6 / 2
m = 3
Secondly, we know that a line perpendicular to the original must have a slope that is the opposite reciprocal of the original. For the given points, the opposite reciprocal slope would be -1/3.
Now, we can put all of the equations below into slope intercept form and find the ones that have a slope of -1/3.
Equation 1: Correct
y = -1/3x - 5
Equation 2: Incorrect
y = 3x - 3
Equation 3: Incorrect
y - 2 = 3(x + 1)
y - 2 = 3x + 1
y = 3x + 2
Equation 4: Correct
x + 3y = 9
3y = -x + 9
y = -1/3x + 3
Equation 5: Incorrect
3x + y = -5
y = -3x - 5
Hope this helps!! :)
Answer: Let's solve for x.
−x−y=6
Step 1: Add y to both sides.
−x−y+y=6+y
−x=y+6
Step 2: Divide both sides by -1.
−x
−1
=
y+6
−1
x=−y−6
Answer:
x=−y−6
Let's solve for x.
5x−7y=66
Step 1: Add 7y to both sides.
5x−7y+7y=66+7y
5x=7y+66
Step 2: Divide both sides by 5.
5x
5
=
7y+66
5
x=
7
5
y+
66
5
Answer:
x=
7
5
y+
66
5
Step-by-step explanation:
Answer:
that is impossible
Step-by-step explanation:
because you have 2 equations where y+z equal different numbers
It's another word for unit rate if that helps
Answer:
To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and 
Step-by-step explanation:
Data provided in the question
f(x) = e^2x - 4
Now
to find the inverse let
So,
y = e^2x - 4
Now
Replace x and y
Therefore
x = e^2y - 4
Now compute the value of y
So,
x + 4 = e^2y
Now take ln on both sides:
The equation is
ln(x+4) = ln(e^2y)
ln(x+4) = 2y
y = ln(x+4) ÷ 2

Therefore, To determine the inverse of the given function, change f(x) to y, switch x and y and solve for y and 