3(k + 1) + 5k = -1 +5(k-1)
- 35
3k+3+5k= -1+5k-5-35
3k-5k+5k= -1-5-3-35
3k=-44
k= -14.6
The constant of proportionality represented by K will be 1/3 which is shown in the given graph.
<h3>What is the constant of proportionality?</h3>
Firstly, there is a proportional relationship.
Two values x and y are said to be in a proportional relationship if x = ky, where x and y are variables and k is a constant.
The constant k is called the constant of proportionality.
The proportional relationship between x and y can be written symbolically as
That middle sign is called a sign of proportionality.
In the given graph x line and y line have been graphed.
Since the relation between them has been represented by a straight line, so their relationship can be represented by
x = K × y
where K is the proportionality constant.
Now K =
=
= 1/3
therefore, the constant of proportionality will be 1/3.
Learn more about proportionality ;
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Answer:
(9/5, 8/5)
Step-by-step explanation:
First you want to find the equations of the lines. One line is y = 2x - 2 and the other line is y = 1/3x + 1. Then you want to find the x and y that both work in the two equations.
y = 2x - 2
y = 1/3x + 1
Then you do 2x - 2 = 1/3x + 1
Then you do some maths and you get 9/5, and 8/5