SOLUTION: A line passes through (r,5) and (6,r). If the slope is five eights what is r equal to?

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Question 247941: A line passes through (r,5) and (6,r). If the slope is five eights what is r equal to?
Answer by ankor@dixie-net.com(15647) About Me  (Show Source):
You can put this solution on YOUR website!
A line passes through (r,5) and (6,r).
If the slope is five eights what is r equal to?
:
use the slope formula: m = %28y2-y1%29%2F%28x2-x1%29
In this problem: m=5%2F8; x1=r, y1=5; x2=6, y2=r
:
%28r-5%29%2F%286-r%29 = 5%2F8
Cross multiply
8(r-5) = 5(6-r)
:
8r - 40 = 30 - 5r
:
8r + 5r = 30 + 40
:
13r = 70
r = 70%2F13
r = 5.3846
:
:
Check on calc: enter: (5.3846-5)/(6-5.3846) ~ .625 which 5/8