Exponents relating to linear equations- help

AI Thread Summary
To find the equation of the line passing through the points (1, π) and (π₂, π⁴), the gradient was calculated using the formula (y₂ - y₁) / (x₂ - x₁). Initially, confusion arose with the gradient calculation, leading to incorrect results. However, the correct gradient was determined to be m = π₂ - 3. Ultimately, the equation of the line was found to be y = π₂(x), confirming the solution was correct. This highlights the importance of accurately calculating the gradient in linear equations.
cmaro
Messages
2
Reaction score
0
So I need to find the equation of the line passing through (1,∏) (∏₂,∏⁴) sorry, the two would only do sub script not super script but does represent squared.

So I had to find the gradient first, so that I could then sub that along with x and y into y=mx+c but I got stuck trying to find the gradient because there is pi4-pi2 / pi2-1.

How do i figure this out? i tried two things and ended up with pi - 1/pi and then pi2-3.. neither of these seem like gradients?
 
Mathematics news on Phys.org
never mind! i figured it out- it was m= pi2-3, and i ended up with an answer of y=pi2(x) which was correct! :)
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Is it possible to arrange six pencils such that each one touches the other five? If so, how? This is an adaption of a Martin Gardner puzzle only I changed it from cigarettes to pencils and left out the clues because PF folks don’t need clues. From the book “My Best Mathematical and Logic Puzzles”. Dover, 1994.

Similar threads

Replies
2
Views
1K
Replies
10
Views
2K
Replies
10
Views
2K
Replies
6
Views
4K
Replies
4
Views
4K
Replies
8
Views
2K
Replies
8
Views
3K
Back
Top