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.