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# how to find the second point of intersection watch

1. how do you find the second point of intersection of a line through a circle given the equation of the circle the line and one set of coordinates? thanks
how do you find the second point of intersection of a line through a circle given the equation of the circle the line and one set of coordinates? thanks
simultaneous equations

the line with the curve

how do you find the second point of intersection of a line through a circle given the equation of the circle the line and one set of coordinates? thanks
Either solve it simultaniously or know it will be on the opposite side of the center.
4. (Original post by TenOfThem)
simultaneous equations

the line with the curve

i get a quadratic with 2 squared terms... y^2 and x^2

how do i solve that?
i get a quadratic with 2 squared terms... y^2 and x^2

how do i solve that?
simultaneously

you have another equation that says y=
6. From the equations of a straight line and a circle, substitute the line into the circle:

Then expand:

Group like terms, rearrange into the form and then substitute into the quadratic formula.

That gives you your two values of x, and y = mx + c lets you find the two corresponding values of y.
7. (Original post by TenOfThem)
simultaneously

you have another equation that says y=
so I solve by substitution then? I was setting both to zero and equating
so I solve by substitution then? I was setting both to zero and equating
yes, substitution

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