Math at B
Graphing linear equations unit five
Lesson four graphing proportional relationships
In this lesson, we will focus on graphing proportional relationships. A proportional relationship is a relationship between two quantities where one value is a constant multiple of the other. In other words, as one quantity increases, the other quantity increases or decreases by a constant ratio.
To graph a proportional relationship, you can create a table of values to represent the relationship between the two quantities. For example, if we have a proportional relationship between x and y where y is 2 times x, we can create a table like this:
x | y
-3 | -6
-2 | -4
-1 | -2
0 | 0
1 | 2
2 | 4
3 | 6
Once you have your table of values, you can plot the points on a coordinate plane and draw a straight line that passes through all the points. This line represents the proportional relationship between the two quantities.
It is important to note that the slope of the line in a proportional relationship is the constant ratio between the two quantities. In the example above, the slope of the line would be 2. This means that for every 1 unit increase in x, y will increase by 2 units.
By graphing proportional relationships, you can visually see how the two quantities are related and better understand the relationship between them. Practice graphing different proportional relationships to solidify your understanding of this concept.