Answer:
4/3
Step-by-step explanation:
A proportional relationship is a relationship that crosses through the origin or (0,0). This means the slope of the line can be found by subtracting the points (12,16) and (0,0) in the slope formula.
So the slope is 4/3 and must be the value between any two points on the line.
This means the function moves from (0,0) to (1, 4/3).
Answer:
The fourth point of the parallelogram is one point among (-2,2), (2,10) and (8,-12).
Step-by-step explanation:
Given information: The first three vertices of parallelogram are (0,6), (5, -1) and (3,-5).
Let fourth point of the parallelogram is (a,b).
Diagonals of a parallelogram bisect each other. It means midpoint of both diagonals are same.
Midpoint formula:
Case 1: If the point (0,6), (5, -1) and (3,-5) are consecutive, then pairs of opposite vertices are (0,6) and (3,-5), (5,-1) and (a,b).
On comparing both sides, we get
It means the fourth point of the parallelogram is (-2,2).
Case 2: If the point (0,6), (5, -1) and (3,-5) are not consecutive, then pairs of opposite vertices are (0,6) and (5,-1), (3,-5) and (a,b).
On comparing both sides, we get
It means the fourth point of the parallelogram is (2,10).
Case 3: If the point (0,6), (5, -1) and (3,-5) are not consecutive, then pairs of opposite vertices are (5,-1) and (3,-5), (0,6) and (a,b).
On comparing both sides, we get
It means the fourth point of the parallelogram is (8,-12).
