### Geometry of Equations

Many ways problem

## Warm-up

Four straight lines have the following equations

1. $3x+8y=59$
2. $x-2y=1$
3. $y-4x=3$
4. $3y+2x=-19$

How many intersections do you expect?

### Some more points…

Three of the four lines above will enclose a triangle where each point on the triangle has negative coordinates.

Which three lines?

Once you have answered these, you will be ready to move to the main problem.