Line slope calculator 3x-y=13


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 2] and B[6; 5]

Calculation:

Slope: m = 3

Slope-intercept form of line: y = 3x-13

Canonical form of the line equation: 3x-y-13 = 0

Parametric form of the line equation:
x = t+5
y = 3t+2      ; t ∈ R

Slope angle of line: φ = 71°33'54″ = 1.249 rad

X intercept: x0 = 4.3333

Y intercept: y0 = q = -13

Distance line from the origin: d0 = 4.111

The length of the segment AB: |AB| = 3.1623

Vector: AB = (1; 3)

Normal vector: n = (3; -1)

Midpoint of the segment AB: M = [5.5; 3.5]

Perpendicular Bisector equation: x+3y-16 = 0

Vector OA = (5; 2) ;   |OA| = 5.3852
Vector OB = (6; 5) ;   |OB| = 7.8102
Scalar product OA .OB = 40
Angle ∠ AOB = 18°15″ = 0.3142 rad