Given the parametric equations
find the point where the lines and intersect.
To find the intersection, create a system of equations where the -coordinate of is equal to the -coordinate of , and the -coordinate of is equal to the -coordinate of :
You can find the intersection by inserting the values you found for
back into one of the parametric equations:
That means the lines and intersect in the point .
Note! You can also insert for in the other parametric equation, which will give you the same point. If you have the time, it’s always smart to do that just to check whether you have made any mistakes or not!