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Answer:
Step-by-step explanation:
First, let us find the gradient of AB:
Gradient of AB =
=
We also need to know that The <em>product of gradients which are perpendicular to each other is -1</em>. Using this idea, we can find the gradient of the perpendicular bisector:
(Gradient of perpendicular bisector)( ) = -1
Gradient of perpendicular bisector =
Now, we need to know at which coordinates the perpendicular bisector intersects AB. <em>A perpendicular bisector bisects a line to two equal parts</em>. Hence the <em>coordinates of the intersection point is the midpoint of AB</em>. Thus,
Coordinates of intersection = ( ,
)
= ( 2, 1 )
Now, we can construct our equation. The equation of a line can be formed using the formula where
is the gradient and the line passes through
. Hence by substituting the values, we get:
<u />
Answer:
As this question is incomplete and lacks equation of functions to be dealt with. So, I am generally explaining the answer to this question.
1. If derivative of that function gives you a position value, it means it is increasing function.
2. If derivative of that function gives you a negative value, it means it is decreasing function.
Step-by-step explanation:
As this question is incomplete and lacks equation of functions to be dealt with. So, I am generally explaining the answer to this question.
If you have equations of functions then following is the way to determine whether that function is increasing or decreasing.
Process: If you want to know a particular function is increasing or decreasing then simply you have to take derivative of that function:
If derivative of that function gives you a position value, it means it is increasing function. increasing
If derivative of that function gives you a negative value, it means it is decreasing function. decreasing