Answer :

A line which is equidistant from the lines y = 10 and y = – 2

To Find: The equation of the line


Formula used: The equation of line is [y – y1 = m(x – x1)]


Explanation: A line which is equidistant from, two other lines,


So, the slopes must be the same .


Therefore, The slope of line y = 10 and y = – 2 is 0, because lines are parallel to the x–axis.


Since, The required line will pass from the midpoint of the line joining (0, – 2) and (0, 10)


The Midpoint formula =


So, The coordinates of the point will be (0, 4)


Since The equation of the line is :


y – 4 = 0(x – 0)


y = 4


Hence, The equation of the line is y = 4


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