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

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

he sells x mount because thats eqivilqant to the maz and then divided into quarters

step-by-step explanation: