SOLUTION: If the line passing through the points (1,k) and (5,4k) is parallel to the line x+3y-2=0, find the value of k

Question 629841: If the line passing through the points (1,k) and (5,4k) is parallel to the line x+3y-2=0, find the value of k
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
If the line passing through the points (1,k) and (5,4k) is parallel to the line x+3y-2=0, find the value of k
**
Given line:
x+3y-2=0
3y=-x+2
y=-x/3+2/3
slope=-1/3
..
Parallel line:
slope=-1/3
using coordinates from two given points: (1,k) and (5,4k)
slope=∆y/∆x=4k-k/5-1=3k/4
..
3k/4=-1/3
k=-4/9
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