Answer:
Slope of BC=-1/6
Step-by-step explanation:
What we know:
- the slope of AC is 6
- BC is perpendicular to AC
We know what BC is perpendicular to AC because they meet at a right angle.
To solve this question, we must understand that the slope of a second line perpendicular to the first is equal to the NEGATIVE RECIPROCAL of the slope of the first line.
For example, the slope of line A=8. The slope of the line perpendicular to line A would be -1/8.
Another example: the slope of line B=-6/7. The slope of a line perpendicular to line B would be 7/6. Remember, two negatives make a positive.
And that brings us back to line BC. Because the slope of line AC is 6, the slope of line BC would be -1/6.
I hope this helps! Please comment if you have any questions.