Video: Representing the Solutions of a One-Variable Linear Equation Graphically

Which points in the graph represent a solution to the equation 𝑦 = 2?

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Video Transcript

Which points in the graph represent a solution to the equation 𝑦 equals two?

Looking on a graph, we can see a whole range of coordinates with an 𝑥 and a 𝑦 value. If we look at the equation 𝑦 equals two, then a solution to this equation would be a coordinate with a 𝑦-value of two. We can draw a line that has an equation of 𝑦 equals two, which would be a horizontal line passing through two on the 𝑦-axis. The solutions to this equation will be the coordinates that lie on this line. We can see that there are two points, 𝐸 and 𝐻, which lie on the line. Therefore, both of these are solutions to 𝑦 equals two.

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