Line slope calculator 3x+2y=31


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 8] and B[7; 5]

Calculation:

Slope: m = -1.5

Slope-intercept form of line: y = -1.5x+15.5

Canonical form of the line equation: 3x+2y-31 = 0

Parametric form of the line equation:
x = 2t+5
y = -3t+8      ; t ∈ R

Slope angle of line: φ = -56°18'36″ = -0.9828 rad

X intercept: x0 = 10.3333

Y intercept: y0 = q = 15.5

Distance line from the origin: d0 = 8.5979

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

Vector: AB = (2; -3)

Normal vector: n = (3; 2)

Midpoint of the segment AB: M = [6; 6.5]

Perpendicular Bisector equation: 2x-3y+7.5 = 0

Vector OA = (5; 8) ;   |OA| = 9.434
Vector OB = (7; 5) ;   |OB| = 8.6023
Scalar product OA .OB = 75
Angle ∠ AOB = 22°27'25″ = 0.3919 rad