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=(-1)/(2)` .

The line is perpendicular to x-axis and cuts the x-axis at
`(-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 .