Line slope calculator 3x-2y=14


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = 1.5x-7

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

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

Slope: m = 1.5

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

X intercept: x0 = 4.6667

Y intercept: y0 = q = -7

Distance line from the origin: d0 = 3.8829

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

Vector: AB = (2; 3)

Normal vector: n = (3; -2)

Midpoint of the segment AB: M = [7; 3.5]

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


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