8. Understand the y-Intercept of a Line
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What is the y-intercept of a line passing through the origin?
See solution.
We know that Chelsea and Bradyn both draw a graph and we want to know something about the y-intercepts of their graphs. Let's look at each case separately!
Chelsea graphs a proportional relationship. When two variables are proportional, the graph of this relationship is a straight line. Let's look at the graphs of a few proportional relationships.
These graphs are all straight lines that pass through the point (0,0), which is the origin of a coordinate plane. This point lies on the y-axis, so the y-coordinate of the point is the y-intercept of the graphs. Therefore, if Chelsea draws a proportional relationship, we know that its y-intercept is 0.
The graphs of both students have the y-intercepts equal to 0. In fact, they both draw graphs of the same type, because the graph passing through the origin is a graph of a proportional relationship.