Line slope calculator 2x-3y=-16


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[1; 6] and B[4; 8]

Calculation:

Slope: m = 0.6667

Slope-intercept form of line: y = 0.6667x+5.3333

Canonical form of the line equation: 2x-3y+16 = 0

Parametric form of the line equation:
x = 3t+1
y = 2t+6      ; t ∈ R

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

X intercept: x0 = -8

Y intercept: y0 = q = 5.3333

Distance line from the origin: d0 = 4.4376

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

Vector: AB = (3; 2)

Normal vector: n = (2; -3)

Midpoint of the segment AB: M = [2.5; 7]

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

Vector OA = (1; 6) ;   |OA| = 6.0828
Vector OB = (4; 8) ;   |OB| = 8.9443
Scalar product OA .OB = 52
Angle ∠ AOB = 17°6'10″ = 0.2985 rad