How to visually identify proportional relationships using graphs | 7th grade | Khan Academy

Learn how to tell proportional relationships by drawing graphs. Key idea: the graph of a proportional relationship is a straight line through the origin.
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Grade 7th on Khan Academy: 7th grade takes much of what you learned in 6th grade to an entirely new level. In particular, you'll now learn to do everything with negative numbers (we're talking everything--adding, subtracting, multiplying, dividing, fractions, decimals... everything!). You'll also take your algebraic skills to new heights by tackling two-step equations. 7th grade is also when you start thinking about probability (which is super important for realizing that casinos and lotteries are really just ways of taking money away from people who don't know probability) and dig deeper into the world of data and statistics. Onward! (Content was selected for this grade level based on a typical curriculum in the United States.)
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On the first one, how did you know it was going to go through the origin

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For y=x² he put the point at (2,3)

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Should the -1 be -3 in the second table if we follow y = 2x + 1

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The teachers says that the second graph is not proportional because 5/2 isn’t the same as 3 and the line doesn’t go thru the origin.

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Find the difference
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So it means that a propotional graph must be a straight line and cross the origin right?

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