Video: Representing the Solutions of a Constant Equation on a Graph

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

01:14

Video Transcript

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

The 𝑥-axis is the horizontal one and, in this graph, goes from zero to 10. Any equation of the form 𝑥 equals 𝑎 where 𝑎 is a constant will be a vertical line through the value 𝑎 on the 𝑥-axis. In this question, the equation 𝑥 equals two will be a vertical line through two on the 𝑥-axis. This line passes through the four points B, C, D, and E.

A common mistake here would be to draw a horizontal line as the 𝑥-axis is horizontal. The line shown in pink actually has equation 𝑦 equals two as it passes through two on the 𝑦-axis. This would lead to the incorrect answer of points D and F. The Line 𝑥 equals two, however, passes through B, C, D, and E.

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