Line slope calculator 2x-3y=-14


Enter coordinates of two different points:

Straight line given by points A[2; 6] and B[5; 8]

Calculation:

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+2
y = 2t+6      ; t ∈ R

Slope: m = 0.6667

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 = [3.5; 7]

Perpendicular Bisector equation: 3x+2y-24.5 = 0


Vector OA = (2; 6) ;   |OA| = 6.3246
Vector OB = (5; 8) ;   |OB| = 9.434
Scalar product OA .OB = 58
Angle ∠ AOB = 13°34'14″ = 0.2368 rad