Line slope calculator 3x-2y=24


Enter coordinates of two different points:

Straight line given by points A[8; 0] and B[10; 3]

Calculation:

Slope-intercept form of line: y = 1.5x-12

Canonical form of the line equation: 3x-2y-24 = 0

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

Slope: m = 1.5

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

X intercept: x0 = 8

Y intercept: y0 = q = -12

Distance line from the origin: d0 = 6.6564

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

Vector: AB = (2; 3)

Normal vector: n = (3; -2)

Midpoint of the segment AB: M = [9; 1.5]

Perpendicular Bisector equation: 2x+3y-22.5 = 0


Vector OA = (8; 0) ;   |OA| = 8
Vector OB = (10; 3) ;   |OB| = 10.4403
Scalar product OA .OB = 80
Angle ∠ AOB = 16°41'57″ = 0.2915 rad