Question

# The slope of a line parallel to Y-axis is zero.True False

Solution

## The correct option is B False The slope of a line passing through points (x1,y1) and (x2,y2) is y2−y1x2−x1. Given the line is parallel to Y-axis. ⟹ the points on the line has the same abscissa. I.e. x1=x2 Therefore, x2−x1=0.  I.e. the denominator of the expression y2−y1x2−x1 is zero. Hence the slope of a line parallel to Y-axis cannot be determined.

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