line a passes through points (5,8) and (10,6). line b is perpendicular to a. what is the slope of line b?

2/5

Step-by-step explanation:

First, we need to find the slope of line a. To do this, we subtract the two y values and then the two x values and divide these two differences.

10-5=5

6-8=-2

5/-2= -5/2

A perpendicular line's slope will always be equal to the negative reciprocal of the intersects. So, we just flip the numerator and denominator and then add a negative to our first slope to get the slope of line b.

-2/5

--2/5

2/5

Have a wonderful day! :D