Line slope calculator 2x-3y=10


Enter coordinates of two different points:

Straight line given by points A[5; 0] and B[8; 2]

Calculation:

Slope-intercept form of line: y = 0.6667x-3.3333

Canonical form of the line equation: 2x-3y-10 = 0

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

Slope: m = 0.6667

Slope angle of line: φ = 33°41'24″ = 0.588 rad

X intercept: x0 = 5

Y intercept: y0 = q = -3.3333

Distance line from the origin: d0 = 2.7735

The length of the segment AB: |AB| = 3.6056

Vector: AB = (3; 2)

Normal vector: n = (2; -3)

Midpoint of the segment AB: M = [6.5; 1]

Perpendicular Bisector equation: 3x+2y-21.5 = 0


Vector OA = (5; 0) ;   |OA| = 5
Vector OB = (8; 2) ;   |OB| = 8.2462
Scalar product OA .OB = 40
Angle ∠ AOB = 14°2'10″ = 0.245 rad