Mathematics
Mathematics
Problem
If all points on a line have the same y–coordinate equal to , which statement about this line is true? a) It is the line b) It is a horizontal line parallel to the x-axis c) It is a vertical line parallel to the y-axis d) It makes an angle of with the x-axisIntuitive explanation
A horizontal line is defined by having a constant -coordinate everywhere along it. Here, every point shares , so you're looking at a horizontal line. The key insight is recognizing what "constant -coordinate" tells you about the line's slope and equation—and what that means for properties like steepness, direction, and how to write it algebraically.
Intuitive explanation
A horizontal line is defined by having a constant -coordinate everywhere along it. Here, every point shares , so you're looking at a horizontal line. The key insight is recognizing what "constant -coordinate" tells you about the line's slope and equation—and what that means for properties like steepness, direction, and how to write it algebraically.