## Download Graphing Proportional Relationships and Identifying Slope of the Line Worksheets

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## Definition:

The concept of proportional relationship and slope of the line are very essential in many aspects especially in economic aspect. In these worksheet, you will further understand these concepts.

**Summary:**

Proportional relationship follows the equation y = mx, whereas variable y varies directly as x and m is the constant of proportionality. This means that as x decreases, y decreases and vice-versa and that the ratio between x and y always stays the same.

**Step1: Given x and y values**

**Step 2: Plot points of x and y **

When the line does not passed through the origin it means that it is a non-proportional relationship.

From the equation y = mx + b:

- It is a
when b = 0 between x and y, so y = mx*proportional relationship* - It is a
when b ≠ 0 between x and y.*non-proportional relationship*

**Step 3 : Connect the dots**

As you can see, the points formed a straight line that passes through the origin indicating a proportional relationship.

The ** constant of proportionality **of line (

*m*) is the same as the

**. It can be solved by using the formula**

*slope***When b = 0 the equation will be y = mx, therefore you can rearrange the formula to**

*y = mx + b.***where y is rise and x is run.**

*m = y / x***Step 4 : Solve change in y axis or the rise.**

**Step 5 : Solve change in x axis or the run.**

## Graphing Proportional Relationships and Identifying Slope of the Line Worksheets

This is a fantastic bundle which includes everything you need to know about Graphing Proportional Relationships and Identifying Slope of the Line across 15+ in-depth pages. These are ready-to-use Common core aligned Grade 8 Math worksheets.

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