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Answer :
All lines having equation of the type y=k are parallel to the x-axis .
What is Equation of Straight line ?
Equation of Straight line as follows : y = mx+b
where m is the slope of the line
c is the y intercept
Hence, this is the most common equation of a straight line used in the geometry .
The slope of the x-axis is 0 and the origin lies on the x-axis
Hence, The equation of the x-axis
could be,
y - 0 = 0 (x-0)
y = 0
As parallel lines have equal slope, all lines having the equation of the type y=k will have slope 0.
Hence, All lines having equation of the type y=k are parallel to the x-axis
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