Two points with co-ordinates (3, 4) and (-5, 4) lie on a line, parallel to which axis? Justifyyour answer.
Question
Two points with co-ordinates (3, 4) and (-5, 4) lie on a line, parallel to which axis? Justify your answer.
Solution
The line passing through the points (3, 4) and (-5, 4) is parallel to the x-axis.
Justification: The y-coordinate for both points is the same (y = 4). In a Cartesian coordinate system, when the y-coordinates of two points are equal, the line passing through these points is parallel to the x-axis. This is because there is no change in the y-value (vertical direction) as you move along the line, only in the x-value (horizontal direction). Therefore, the line is horizontal and parallel to the x-axis.
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