Line slope calculator 3x-2y=8


Enter coordinates of two different points:

Straight line given by points A[4; 2] and B[6; 5]

Calculation:

Slope-intercept form of line: y = 1.5x-4

Canonical form of the line equation: 3x-2y-8 = 0

Parametric form of the line equation:
x = 2t+4
y = 3t+2      ; t ∈ R

Slope: m = 1.5

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

X intercept: x0 = 2.6667

Y intercept: y0 = q = -4

Distance line from the origin: d0 = 2.2188

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

Vector: AB = (2; 3)

Normal vector: n = (3; -2)

Midpoint of the segment AB: M = [5; 3.5]

Perpendicular Bisector equation: 2x+3y-20.5 = 0


Vector OA = (4; 2) ;   |OA| = 4.4721
Vector OB = (6; 5) ;   |OB| = 7.8102
Scalar product OA .OB = 34
Angle ∠ AOB = 13°14'26″ = 0.2311 rad