# Thread: What is the least slope of such a line?

1. ## What is the least slope of such a line?

Can anybody help me do this please... thank you so much.

A line with y-intercept 5 and positive slope is drawn such that this line intersects
. What is the least slope of such a line?

2. The best!

3. Originally Posted by Soroban
...
But it didn't say that the line was tangent to the circle, only that it intersects the circle...

4. yeah sir Prove it, i see the answer of 4/3 in the problem from the booklet of PMO, but there is no solution to reach to that answer, how does it related to the first answer you have shown sir? are both the same?

thanks a lot. Mwah

5. thanks Sir Soroban nice Job too.

6. Originally Posted by rcs
yeah sir Prove it, i see the answer of 4/3 in the problem from the booklet of PMO, but there is no solution to reach to that answer, how does it related to the first answer you have shown sir? are both the same?

thanks a lot. Mwah
Then you must have written the question wrong. If it has to be tangent to the circle, then follow Soroban's solution.

8. Hello, Prove It!

But it didn't say that the line was tangent to the circle, only that it intersects the circle.

That's true, but if the line is a secant to the circle, it will have a larger slope.

9. Originally Posted by Prove It
But it didn't say that the line was tangent to the circle, only that it intersects the circle...
The line of least slope will be a tangent

CB

10. Originally Posted by rcs
Can anybody help me do this please... thank you so much.

A line with y-intercept 5 and positive slope is drawn such that this line intersects
. What is the least slope of such a line?
Are you attempting a geometric solution using a right-angled triangle
or an algebraic solution involving the intersection of a line and circle ?