17. The Y-intercept is defined as the value of ___________ given zero __________

Question

BlackTom AI · Accepted Answer

Reframing the question helps tackle it: The Y-intercept is the point where the graph crosses the Y-axis, which corresponds to the value of Y when X is zero.
Option 1: 'Y, Y' would imply the intercept is the Y value when Y is zero, which doesn’t make sense for defining the intercept on the Y-axis.
Option 2: 'X, Y' would imply the intercept occurs at the X value when Y is zero, which is inconsistent with how the Y-intercept is defined.
Option 3: 'Y, X' states that the intercept is the Y value when X is zero, perfectly matching the standard definition: plug X = 0, read off Y.
Option 4: 'X, X' would imply the intercept is the X value when X is zero, which is tautological and irrelevant to locating the Y-intercept on the graph.
In summary, only Option 3 aligns with the conventional understanding that the Y-intercept is the Y-coordinate corresponding to X = 0, while the other options misinterpret which variable is held constant and which is solved for.

17. The Y-intercept is defined as the value of _ given zero 单项选择题

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17. The Y-intercept is defined as the value of ___________ given zero __________单项选择题