Question

I need help to determine whether the slope in this graph is Positive, negative, zero or undefined.

Answer 1

Consider that the line shown in the graph is perfectly vertical.

So the angle formed by the line with positive direction of x-axis is 90 degrees,

`\theta=90^(\circ)`

The solpe (m) of a line making an angle Θ with the positive x-axis is given by,

`m=\tan \theta`

Substitute the value and obtain the slope as follows,

`m=\tan (90^(\circ))`

It is known that the tangent function is undefined at 90 degrees.