SOLUTION: HOW IS THIS DONE? WHAT IS THE SLOPE OF A LINE THAT IS PERPENDICULAR TO THE LINE PASSING THROUGH THE POINTS (8,3) AND (10,6)?

You can put this solution on YOUR website!
first, find the gradient of the line that passes through the 2 points --> look at my lessons on this topic on this site. They are easy to follow and explain it well.

Once you have that, you need to know that 2 lines that are perpendicular, will have gradients m1 and m2 such that m1*m2 = -1.

So, if your gradient is 3, then the perpendicular line has a gradient of -1/3.

Jon