5. Graphs of Proportional Relationships
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Does the line pass through the origin?
No, see solution.
Before we begin, let's take a look at the information given in the table of values.
x | -2 | -1 | 0 | 1 |
---|---|---|---|---|
y | 4 | 2 | 0 | 2 |
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, if possible. Let's first plot the points as (x,y) coordinate pairs.
Now, let's notice that we cannot connect these points with a single straight line — we need at least two lines.
Since there is no single line that passes through the origin, x and y are not proportional.