Its Wednesday :D First period of math

Random Scribe Thing

Intersection of curve and line

TOA CAH SOH
⬆ The tangent in TOA is not equal to the graph tangent.
Tangent in graphs represent the gradient in the graph. And also as it is the gradient (Rise/Run)

Eg.
x^2-xy+y^2=1 -----(1)
2x-y=k ---------------(2)
First Step: Solve both equations simultaneously.
From (2),y=2x-k -----(3)
Substitute (3) into (1)
x^2-x(2x-k)+(2x-k)^2=1
x^2 -2x^2+kx+4x^2-4kx+k^2=1
3x^2-3kx+k^2-1=0

If Z is an unknown constant, write it in Zx, not xZ as the constant is in front of the variable.

Edit: Note: Flip the inequality sign when you multiply by negative - .