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The horizontal line y = 4 passes through the y-axis at which point?
A(0, 4)
B(4, 0)
C(0, -4)
D(-4, 0)
Answer & Solution
Correct answer: A. (0, 4)
1. A horizontal line y = b always passes through the y-axis at the point (0, b).
2. For the line y = 4, substituting b = 4 gives the point (0, 4).
3. Swapping the coordinates to (4, 0) would instead describe a point on the x-axis, not the y-axis.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 4 "Graphs", section 4.2 Graph Linear Equations in Two Variables_
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