Observe the graph:

The lines are perpendicular and have positive slope.

Perpendicular lines slopes are negative reciprocal to each other.

Line equation in slope-intercept form is $\"\"$ ,where $\"\"$ is slope and $\"\"$ is $\"\"$ -intercept.

Check the possibility of each pair in options.

Convert the equations into slope-intercept form.

(a) The pair is $\"\"$

$\"\"$

Observe the slopes of two equations are not negative reciprocal to each other.

They are not perpendicular.

(b) The pair is $\"\"$

$\"\"$

Since the slopes of equations are negative reciprocal to each other, the lines are perpendicular.

But the two equations passes through the origin.

It is not correct option.

(c) The pair is $\"\"$

$\"\"$

Observe the slopes of two equations are not negative reciprocal to each other.

They are not perpendicular.

(d) The pair is $\"\"$

Rewrite the equations as :

$\"\"$

Since the slopes of equations are negative reciprocal to each other, the lines are perpendicular.

(e) The pair is $\"\"$

$\"\"$

Observe the slopes of two equations are not negative reciprocal to each other.

They are not perpendicular.

The only possible option is (d).