# Daily Desmos 141a (Advanced)

## Creator

Sadie Estrella (@wahedahbug)

## Difficulty

Advanced

## On to the Challenge!

Can you come up with different equations for lines that go through any two points on the graph? How many different equations can you come up with? Can you make any designs (i.e. an X)? Describe any relationships you see between the slopes of the lines you created. Can you justify the relationsh

I used your challenge to create a parabola that would go through (0,0) and two other given points. Comments of the journey are in the comments of the graph. https://www.desmos.com/calculator/ox9sqym1vi

https://www.desmos.com/calculator/muxkj975ez

I came up with three equations, and created what appears to be a right triangle. I don’t see a relationship with the purple line, but I recognize that the orange and red lines are reciprocals.

That is awesome Tori! Glad you were able to figure out the equations of lines to go through points.

https://www.desmos.com/calculator/f23mlb4a0y

Those are some AWESOME graphs Tiffany!! Wow more than I ever expected someone to find for those points!