# What is the least slope of such a line?

• Dec 21st 2010, 04:39 AM
rcs
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
Attachment 20168. What is the least slope of such a line?
• Dec 21st 2010, 05:42 AM
rcs
The best!
• Dec 21st 2010, 05:53 AM
Prove It
Quote:

Originally Posted by Soroban
...

But it didn't say that the line was tangent to the circle, only that it intersects the circle...
• Dec 21st 2010, 06:28 AM
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
• Dec 21st 2010, 06:32 AM
rcs
thanks Sir Soroban :) nice Job too.
• Dec 21st 2010, 06:43 AM
Prove It
Quote:

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.
• Dec 21st 2010, 06:45 AM
rcs
• Dec 21st 2010, 08:26 AM
Soroban
Hello, Prove It!

Quote:

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.

• Dec 21st 2010, 08:34 AM
CaptainBlack
Quote:

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
• Dec 21st 2010, 03:14 PM