Tangnt lines

Tangent lines are a line that comes in contact with a point and has its own slope. 

Xt is slope of a graph. As explained earlier in the pictures it is just rise over run or (f(x+h)-f(x))/h. This allows one to find the tangent line. One term that someone would come across is a deritive which is really just the slope of a line or the previous equation. 

Next is the short cut to this process because it is long and lengthy. It is simple. Take the power of the variable move it down and multiply the constant by that number then decrease the power by one. Do this for each variable. On a constant without a varible will cancle out.