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**mathstudent2000****Member**- Registered: 2013-07-26
- Posts: 79

1. Points A and B are in the first quadrant, and O = (0,0) is the origin. (A point is in the first quadrant if both coordinates are positive.) If the slope of \overline{OA} is 1 and the slope of \overline{OB} is 7, and OA = OB, then compute the slope of \overline{AB}.

2. The line y = (3x + 7)/4 intersects the circle x^2 + y^2 = 25 at A and B. Find the length of chord \overline{AB}.

3. The lines y = \frac{5}{12} x and y = \frac{4}{3} x are drawn in the coordinate plane. Find the slope of the line that bisects these lines.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 106,351

Hi;

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**mathstudent2000****Member**- Registered: 2013-07-26
- Posts: 79

Thanks i now know how to do 1 and 3 but i still don't really get no. 2, can you please explain how to do it

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 106,351

One way would be to substitute the linear equation into the equation of the circle and solve for the points of intersection. Then to use the distance formula. Or you can use geogebra.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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**mathstudent2000****Member**- Registered: 2013-07-26
- Posts: 79

ok, thanks, i think the easiest is the distance formula one

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 106,351

Hi;

Got the answer yet or how far along are you?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.****No great discovery was ever made without a bold guess. **

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