# Suppose f(x) is given.Suppose point (a,b) is a point on the function f(x).suppose line L1 is a tangent line to f(x) at point (a,b). Note: tangent line to a function is a line that touches the function at only one point.1- What is the slope of the tangent line L1 described above (give an expression for the answer).2- suppose slope of this tangent line L1 is m. What is equation of this tangent line (give an equation for the answer).

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Suppose f(x) is given.

Suppose point (a,b) is a point on the function f(x).

suppose line L1 is a tangent line to f(x) at point (a,b). Note: tangent line to a function is a line that touches the function at only one point.

1- What is the slope of the tangent line L1 described above (give an expression for the answer).

2- suppose slope of this tangent line L1 is m. What is equation of this tangent line (give an equation for the answer).

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