# Linear equation given two points

## Calculates the linear equation, distance and slope given two points.

point P (x1
 , y1 )
point Q (x2
 , y2 )
[ angle unit

linear equation y=
 x +
distance PQ
slope θ

 When the equation becomes parallel to y-axis, it is displayed as infinity (∞). $\normal Linear\ equation\ through\ P\ and\ Q\\\vspace{5}\hspace{20} P(x_1,y_1),\ Q(x_2,y_2)\hspace{20}y=ax+b={\large\frac{y_2-y_1}{x_2-x_1}}x+{\large\frac{x_2y_1-x_1y_2}{x_2-x_1}}\\\vspace{5}\hspace{20}PQ=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\vspace{5}\hspace{20}\theta=tan^{\tiny-1}\left({\large\frac{y_2-y_1}{x_2-x_1}}\right)\\$

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