Analytic geometry

Basic calculations on points in the coordinate plane. The distance between two points $A(x_A,y_A)$ and $B(x_B,y_B)$:

$|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}$

The midpoint of a segment is the average of the coordinates: $S=\left(\tfrac{x_A+x_B}{2},\tfrac{y_A+y_B}{2}\right)$. The slope of the line through these points: $a=\dfrac{y_B-y_A}{x_B-x_A}$, with its slope-intercept equation $y=ax+b$.

The calculator draws both points, the segment and its midpoint on the coordinate plane.