Download Graphing Proportional Relationships and Identifying Slope of the Line Worksheets
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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.
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 proportional relationship when b = 0 between x and y, so y = mx
- It is a non-proportional relationship when b ≠ 0 between x and y.
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 slope. It can be solved by using the formula y = mx + b. When b = 0 the equation will be y = mx, therefore you can rearrange the formula to m = y / x where y is rise and x is run.
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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