How do you find the value of r such the points (6,2), (9,r) with slope m=-1?

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Answer 1 · 2017-04-21T16:41:33

#r=-1#

First, write the equation of the line using point slope form using #(6,2)# and #m=-1#. Point slope form is #y-y_1=m(x-x_1)#:

#y-2=-1(x-6)#

Distribute the #-1#:

#y-2=-x+6#

Now solve for #y#:

#y=-x+8#

Now plug in #(9,r)#:

#r=-9+8#

Solve for #r#:

#r=-1#