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Question

Find the equation of the line parallel to x-axis and passing through (3, -5).


Solution

Let the equation of the line be :yy1=m(xx1)Now,m=0               [ Parallel lines have equal slopes, the slope of x-axis is 0](x1, y1)=(3, 5) yy1=m(xx1)y(5)=0 (x3)y+5=0y=5Hence, the equation of the required line is y = -5

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