Aproportional relationship is shown in the table below:
xxx 000 111 222 333 444
yyy 000 333 666 999 121212
what is the slope of the line that represents this relationship?
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graph the line that represents this relationship.

The slope is

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

------> from the given table

Find the value of k

substitute the values

The linear equation is

using a graphing tool

see the attached figure

The slope of a proportional relationship is the rate of change of the relationship

The slope of the relationship is 3

Pick any two points from the table;

The slope (m) is calculated as:

So, we have:

Subtract

Divide

Hence, the slope of the relationship is 3

Because it is a proportional relationship, the equation of its graph is:

Substitute 3 for m

See attachment for the graph of

Read more about proportional relationships at:

link

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: