Which of the following is true about the relationship between the slopes of the lines whose equations are 8x - 9y = 5 and 9x - 8y = 1?

They are equal.

They are reciprocals.

They are opposites.

reciprocals

Step-by-step explanation:

Let's actually find the slopes. Then we can better compare them.

8x - 9y = 5 → - 9y = 5 - 8x → slope is m = (-8) / (-9), or 8/9.

9x - 8y = 1 → - 8y = 1 - 9x → slope is (-9) / (-8), or 9/8

These two slopes are reciprocals (but not negative reciprocals).