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 A proportional relationship between two quantities is one in which the two quantities vary directly with one and other. If one item is doubled, the other, related item is also doubled. Because of this, it is also called a direct variation. The equations of such relationships are always in the form y = mx , and when graphed produce a line that passes through the origin. In this equation, m is the slope of the line, and it is also called the unit rate, the rate of change, or the constant of proportionality of the function. 
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We want to find the relationship between unit rate, slope, and constant rate of change of a proportional linear relationship.

What we can see that these 3 things have in common, is that these are always multiplying the variable.

First, let's define all of these.

The unit rate is the rate of a unit of something. For example, if the price of a single apple is $1, then the unit rate will be $1 per apple, and we can write the proportional relationship:

y = ($1 per apple)*x

Where y represents the cost of buying x apples.

The slope is defined as the rate of change of a linear equation:

y = a*x + b

a is the slope.

The constant rate of change in a proportional relationship is the constant of proportionality.

y = k*x

Here k would be the constant rate of change.

So what we can see that these 3 things have in common, is that these are always multiplying the variable.

Particularly, we could say that "slope" actually could be used to also define the other two words, as it is the more general one.

If you want to learn more, you can read:

https://brainly.com/question/2263981

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