Line slope calculator 2x-3y=14


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[7; 0] and B[10; 2]

Calculation:

Slope: m = 0.6667

Slope-intercept form of line: y = 0.6667x-4.6667

Canonical form of the line equation: 2x-3y-14 = 0

Parametric form of the line equation:
x = 3t+7
y = 2t      ; t ∈ R

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

X intercept: x0 = 7

Y intercept: y0 = q = -4.6667

Distance line from the origin: d0 = 3.8829

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

Vector: AB = (3; 2)

Normal vector: n = (2; -3)

Midpoint of the segment AB: M = [8.5; 1]

Perpendicular Bisector equation: 3x+2y-27.5 = 0

Vector OA = (7; 0) ;   |OA| = 7
Vector OB = (10; 2) ;   |OB| = 10.198
Scalar product OA .OB = 70
Angle ∠ AOB = 11°18'36″ = 0.1974 rad