How can I figure out where two lines intersect?

smilyfacebkwrm

New member
Joined
Oct 9, 2004
Messages
7
Do the two lines cross? If they do cross, in what year do they cross? Show this work algebraically. What does this intersection point represent? If the lines do not intersect, what would this intersection point represent?

Basically, I have a graph of women and men's winning times in some olympic race. The two lines of best fit are:

y=-.05x+26.56 (women) ... also r = -.9
y=-.02x+21.98 (men) ... also r=-.8

So, how do I figure out *algebraically* where the lines cross? I can do it on my calculator easily...

HELP! Thank you!
 
If the lines cross, then they share an x,y-point. So treat the two lines like a system of equations, and solve for the (x, y) intersection point.

Since the equations are already solved for "y=", I would proceed by substitution.

Eliz.
 
Top