When graphing proportional relationships, the first step is to determine the constant of proportionality, also known as the unit rate. This can be done by finding the ratio of the y-values to the x-values.
For example, let's say we have a proportional relationship where the y-values are twice the x-values. In this case, the constant of proportionality (unit rate) is 2.
To graph the relationship, we plot the points on a coordinate plane using the x-values as the input and the y-values as the output. So, for each x-value, we multiply it by the constant of proportionality to get the corresponding y-value.
Let's say we have the following data:
x = 1, 2, 3, 4, 5
y = 2, 4, 6, 8, 10
To graph this proportional relationship, we plot the points (1, 2), (2, 4), (3, 6), (4, 8), (5, 10) on a coordinate plane. These points will fall on a straight line passing through the origin (0,0), indicating that they represent a proportional relationship.
Math 7 A - graph proportional relationships
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