Question 1040799: Do the following two lines intersect? Answer yes or no, together with the point, if any
5x+8y=-5
-X-1.6y=14 Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! 5x+8y=-5
-X-1.6y=14
multiply the second equation by 5
-5x-8y=70
add the two
0x+0y=65
they do not intersect.
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write in slope intercept form
8y=-5x-5
y=(-5/8)x-(5/8)
the second
-1.6y=-x+14
y=-1/-1.6 +14/-1.6
but 1/1.6 is 10/16 or 5/8
y=(5/8)x-8 2/3
The two lines have the same coefficient in front of the x, and the intercepts are different. They are parallel lines by definition.
