91Ó°ÊÓ

The given figure is:

We have tofind the lines with positive slope.

We know that the slope is the ratio of the y-intercept to the x-intercept of a line.

$\text{slope}=\frac{y−\text{intercept}}{x−\text{intercept}}$

From the given figure, we have that $y−\text{intercept}$and $x−\text{intercept}$of lines are positive.

So, the lines $n\text{and}y$have positive slopes.

The given figure is:

We have tofind the lines with negative slope.

We know that the slope is the ratio of the y-intercept to the x-intercept of a line.

$\text{slope}=\frac{y−\text{intercept}}{x−\text{intercept}}$

From the given figure, we have that $y−\text{intercept}$ of the line k is positive and the $x−\text{intercept}$is negative.

So, the linek has negative slope.

The given figure is:

We have tofind the lines with zero slope.

From the given figure, we see that the line l is making an angle of $0^{°}$with the $x−\text{axis}$.

It means $\text{slope}=\tan \mathrm{θ}=\tan 0^{°}=0$.

So, the slope of line l is zero.

The given figure is:

We have tofind the lines with undefined slope.

From the given figure, we see that the line X is making an angle of ${90}^{°}$in the anticlockwise direction with the positive $x−\text{axis}$.

So, the slope of line X is undefined.