Tangent and Normal lines
To get a tangent line, you need to remember the formulas of slope slope and slope intercept which are y=mx+b and Y2-Y1/X2-X1
To get a tangent line, follow these steps:
1. Derive
2. Evaluate in y' to get m
3. Calculate b
4. Fix equation
For example, take the equation y=x^2-5x+6
Derive (2x-5)
y'=2x-5 is your slope
Then with the point you are given, insert it into the original equation to get a point.
Then rearrange the equation so that it's b=Y-mx and substitute values
To get a tangent line, follow these steps:
1. Derive
2. Evaluate in y' to get m
3. Calculate b
4. Fix equation
For example, take the equation y=x^2-5x+6
Derive (2x-5)
y'=2x-5 is your slope
Then with the point you are given, insert it into the original equation to get a point.
Then rearrange the equation so that it's b=Y-mx and substitute values