Line slope calculator 10x-3y=50


Enter coordinates of two different points:

Straight line given by points A[5; 0] and B[8; 10]

Calculation:

Slope-intercept form of line: y = 3.3333x-16.6667

Canonical form of the line equation: 10x-3y-50 = 0

Parametric form of the line equation:
x = 3t+5
y = 10t      ; t ∈ R

Slope: m = 3.3333

Slope angle of line: φ = 73°18'3″ = 1.2793 rad

X intercept: x0 = 5

Y intercept: y0 = q = -16.6667

Distance line from the origin: d0 = 4.7891

The length of the segment AB: |AB| = 10.4403

Vector: AB = (3; 10)

Normal vector: n = (10; -3)

Midpoint of the segment AB: M = [6.5; 5]

Perpendicular Bisector equation: 3x+10y-69.5 = 0


Vector OA = (5; 0) ;   |OA| = 5
Vector OB = (8; 10) ;   |OB| = 12.8062
Scalar product OA .OB = 40
Angle ∠ AOB = 51°20'25″ = 0.8961 rad