Big Ideas Math: Modeling Real Life, Grade 7
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5. Graphs of Proportional Relationships
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Exercise 12 Page 215

Does the line pass through the origin?

Graph:

Is the Relationship Proportional? No.
Explanation: The line passing through the given points does not pass through the origin.

Practice makes perfect

Before we begin, let's take a look at the information given in the table of values.

Hours, x 0 1 2
Miles, y 50 100 150

First, let's plot the given points.

The graph of a proportional relation is a single, straight line in the coordinate plane that passes through the origin. Let's check if we can pass a single line through these points and the origin.

Since the line does not pass through the origin, so x and y are not proportional.