# Tangent Line: Definition & Equation

Instructions:

question 1 of 3

### If f '(4) = 3 and f(4) = -1, what is the equation of the tangent line to f(x) at x = 4?

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### 2. What is the slope of the tangent line to f(x) = x^3 at x = -2 ?

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These assessments will test your understanding of tangent lines, conceptually and mathematically. To score well, you will have to be able to use the equation of a tangent line and interpret a graph.

## Quiz & Worksheet Goals

The assessments will test you on:

• Relationships between the secant line, slope, and tangent line
• Equation of the tangent line formula
• Rules related to tangent lines

## Skills Practiced

You should expect to apply the following skills:

• Problem solving- use acquired knowledge to solve for the equation of the tangent line when given specific information
• Making connections- use your understanding of slope to find the equation of a tangent line
• Interpreting information- verify that you can view a graph related to tangent lines and interpret it correctly