SOLUTION: Do the following two lines intersect? 5x+8y=-5 and -x-1.6y=14

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Question 979869: Do the following two lines intersect? 5x+8y=-5 and -x-1.6y=14
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
5x + 8y = -5
Sort into y = mx + c
8y = -5x - 5
y = -5/8 - 5/8
.........
-x - 1.6y = 14
Sort into y = mx + c
-1.6y = x + 14
y = x/-1.6 + 14/-1.6
..............
The two gradients
-5/8 = 1/-1.6
Therefore the lines are parallel
and will never intersect.
Their only difference is their y intersections.
Hope this helps:-)