5. Graphs of Proportional Relationships
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Does the line pass through the origin?
Yes, see solution.
Before we begin, let's take a look at the information given in the table of values.
x | 1 | 3 | 5 | 7 |
---|---|---|---|---|
y | 0.5 | 1.5 | 2.5 | 3.5 |
The graph of a proportional relation is a single, straight line in the coordinate plane that passes through the origin. We will check if x is proportional to y by drawing a line passing through the given points. Let's first plot the points as (x,y) coordinate pairs.
Now, let's connect these points with a straight line.
Since the line passes through the origin, x and y are proportional.