We're looking for a scalar function 
such that 
. That is,
Integrate the first equation with respect to 
:
Differentiate with respect to 
:
Integrate with respect to :
So 
is indeed conservative with the scalar potential function
where 
is an arbitrary constant.
Answer:
<h2>
y = 3x - 16</h2>
Step-by-step explanation:
Equation of line with a given slope of a and containing a given point (x₀, y₀):
y - y₀ = a(x - x₀)
a = 3, x₀ = 5, y₀ = -1
So:
y - (-1) = 3(x - 5)
y = 3x - 15 - 1
<u>y = 3x - 16</u>
Question:
What is 3(x + 2) - 2(x + 1)?
Steps:
When you solve this type of equation always use the distributive property formula to solve this equation!
Formula: a(b + c) = ab + ac
So, what is 3(x + 2) ?
Also, what is -2(x + 1)?
Then, put it back into the equation for you to solve this problem.
So, this would be the new equation:
3x + 6 - 2x - 2
Then, what you want to do is put variables next to each other and the numbers next to each other so it will be easier to simplify:
3x - 2x + 6 - 2
Then, simplify:
x + 4 is the answer!
Since 3x - 2x = x and 6 - 2 = 4
Hope that helped!!
~Serina
We know, Point slope form is written as:
y - y₁ = m(x - x₁)
First, We need to Calculate the slope:
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 1) / (-3-2)
m = 1/-5
m = -1/5
Take any one of them: Let's take (-3, 2) as our coordinate:
y - 2 = m(x - (-3))
y - 2 = -1/5(x + 3)
In short, Your Answer would be Option D
Hope this helps!
