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...

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