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# Does these two lines intersect?

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1. y=1-x^2
y=3x-2
2. (Original post by kitkat132000)
y=1-x^2
y=3x-2
If they do then you will be able to solve when the two equations are equal
1- x^2 = 3x - 2

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3. make them equal to each other
1-x^2 = 3x-2

solve for x
then solve for y on both equation, now you have the points for where they intersect, that is if they do
4. (Original post by kitkat132000)
y=1-x^2
y=3x-2
Set them equal.

1-x^2 = 3x-2, then rearrange to equal 0 and find the discriminant, if it's greater than or equal to 0 then the lines intersect. To find where it intersects, solve for x and put it back into the original equation.

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