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 3 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 -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.