5. Graphs of Proportional Relationships
Sign In
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 | 0 | 1 | 2 | 3 |
---|---|---|---|---|
y | -2 | 1 | 4 | 7 |
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 does not pass through the origin, x and y are not proportional.