Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
5. Graphs of Proportional Relationships
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Exercise 1 Page 212

Does the line pass through the origin?

No, see solution.

Practice makes perfect

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.