Line slope calculator 3x-2y=13


Enter the coordinates of two different points:
Line slope diagram

Straight line given by points A[5; 1] and B[7; 4]

Calculation:

Slope: m = 1.5

Slope-intercept form of line: y = 1.5x-6.5

Canonical form of the line equation: 3x-2y-13 = 0

Parametric form of the line equation:
x = 2t+5
y = 3t+1      ; t ∈ R

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

X intercept: x0 = 4.3333

Y intercept: y0 = q = -6.5

Distance line from the origin: d0 = 3.6056

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; 2.5]

Perpendicular Bisector equation: 2x+3y-19.5 = 0

Vector OA = (5; 1) ;   |OA| = 5.099
Vector OB = (7; 4) ;   |OB| = 8.0623
Scalar product OA .OB = 39
Angle ∠ AOB = 18°26'6″ = 0.3218 rad