Differential Equation of Lines Passing Through a Fixed Point

Rarely Tested

Differential Equation of Lines Passing Through a Fixed Point

For lines passing through:

$$(x_1,y_1)$$

the family is:

$$y-y_1=m(x-x_1)$$

Differentiating gives:

$$\frac{dy}{dx}=m$$

Usage

- Used to represent all straight lines passing through a fixed point.

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