Coordinate Geometry

Cartesian coordinate

$(x,y)$

Gradient

$m=\dfrac{y_1-y_2}{x_1-x_2}$

Equation

$y-y_1=m(x-x_1)$
$y=mx+c$
*Vertical line: $x=a$
*Horizontal line: $y=b$

Length

$\text{Length } = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

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