## alphaville 3 years ago What does the point of intersection between two lines in a graph tell us?

1. Rosh007

mathmatically we can say it(that point) is the solution of those two equations... and in anothr way we can say at that point both equation is satisfied

2. ash2326

A line represents a linear equation in two variables. The point of intersection of two lines is the solution of the two equations which the lines represent

3. alphaville

I still don't quite understand.. for example: 29.90+0.01x = 14.99 +0.025x 29.90-14.99 = 0.025x-0.01x \$14.91/base cost = \$0.015 taxes x=994 tickets Does this tell me the difference between the two equations to make them equal with each other?

4. ash2326

These two equations represent costs which are calculated in different ways. x is the no. of tickets for which the cost will be same from both ways.

5. Rosh007

ow I got cofused with your replay... line is a two variable equation.. or if it is one variable, then it is constant... which equals its value all time.... where cost and tickts comes?

6. alphaville

I'm comparing two different linear equations for two different plans

7. ash2326

Yeah alphaville We are trying to find the no. of tickets for which the same cost is obtained from both the plans

8. Rosh007

Ok..... :)

9. Rosh007

I thought that he is comaring betwn the two values of X, in this cas each rprsets a constant....

10. ash2326

@alphaville do you understand ?

11. alphaville

i know the result is supposed to be the number of tickets that gives the same cost for both plans or companies... it just tells us how many tickets it would take to make each plan equal with each other?

12. ash2326

yeah, which is a solution that satisfies both equations

13. alphaville

ok, thanks... i think i get it now :)

14. ash2326

:D

15. alphaville

so would a point of intersection that is relatively low tell us that there is more distance to make the plans equal to each other? (i'm just guessing based on my other results)

16. ash2326

No point of intersection represents that the costs are equal

17. alphaville

I guess I mean, Would a point of intersection that is low be better than one that is high ( if you are trying to pick the one with the lowest cost)

18. alphaville

compared to multiple points...

19. ash2326

If we are trying to pic the one with the lowest cost then it has to be a low intersection point