Determine value of r so the line that passes through each pair of points has the given slope. (6,8), (r,-2), m=1

Expert Answers
Borys Shumyatskiy eNotes educator| Certified Educator

Hello!

When two points of the straight line are given, the slope of this line is

`(y_2-y_1)/(x_2-x_1).`

Here this is equal to

`(-2-8)/(r-6) = -10/(r-6)`

and must be 1.

So

`-10/(r-6)=1,`

r-6=-10,

r=6-10=-4.  This is the answer.