Woops, the graph didn't show before. It should show up now.
Hi, I was just wondering what happens when you've got a system of equations and multiple intersection points happen from those lines? For example:
There seems to be more than 1 point between the two lines that intersect with each other. I am guessing that the system will solve into something that has a sort of equation for the Y variable? Such as: (x, 2x+1) ? And if I'm correct with that assumption, is there a way to find an interval for the range of valid x values?
I thought that it might intersect at one more than one point, but I wasn't certain. Graphing this:
y = 3x+4 and y = 3.2x+4 looks like it may intersect at more than one point.
Is it even possible for two lines to intersect at more than one point if their slopes are not equal?
Two lines will intersect if they're slopes are not equal. There are NO exeptions to this rule, granted that the lines lie in the same plane.
If the slopes of two lines are equal and they lie in the same plane, they are either
a) parallel
b)overlapping
Does that help?