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).