To finish the demonstration that the quadrilateral JKLM is a rhombus we need to prove that side JK is congruent with side LM.
The length of a segment with endpoints (x1, y1) and (x2, y2) is calculated as follows:
Substituting with points L(1,6) and M(4,2) we get:
Given that opposite sides are parallel, all sides have the same length, and, from the diagram, the quadrilateral is not a square, we conclude that it is a rhombus.
Answer:
The rate of change is -5
The initial value is 25
Step-by-step explanation:
Since, this is a linear relation
so, we can select any two points and find equation of line
points are (1,20) and (3,10)
so,
now, we can find slope
now, we can plug values
now, we can use point slope form of line
now, we can plug values
now, we can solve for y
we know that
slope is the rate of change
So, the rate of change is -5
For finding initial value , we can plug x=0 and find y
So, initial value is 25