Question

Find the slope of the given line, if it is defined. 2x + 1 = 0

Answer 1

Given :

A line 2x + 1 =0 .

To Find :

The slope of the given line .

Solution :

We know , slope of line is given by the tangent of the angle between the x-axis and the line .

Now, for line 2x + 1 =0 i.e $x=\dfrac{-1}{2}$ .

The line is perpendicular to x-axis and cuts the x-axis at $\dfrac{-1}{2}$ .

Therefore , the angle between the line and x-axis is $90^o$ .

So , slope $m=\tan\ 90^o$ i.e undefined .

Therefore , the slope of given line is not defined .

Hence , this is the required solution .