Line slope calculator 3x-2y=4


Enter coordinates of two different points:

Straight line given by points A[2; 1] and B[4; 4]

Calculation:

Slope-intercept form of line: y = 1.5x-2

Canonical form of the line equation: 3x-2y-4 = 0

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

Slope: m = 1.5

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

X intercept: x0 = 1.3333

Y intercept: y0 = q = -2

Distance line from the origin: d0 = 1.1094

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

Vector: AB = (2; 3)

Normal vector: n = (3; -2)

Midpoint of the segment AB: M = [3; 2.5]

Perpendicular Bisector equation: 2x+3y-13.5 = 0


Vector OA = (2; 1) ;   |OA| = 2.2361
Vector OB = (4; 4) ;   |OB| = 5.6569
Scalar product OA .OB = 12
Angle ∠ AOB = 18°26'6″ = 0.3218 rad