Line slope calculator 2x+3y=24


Enter coordinates of two different points:

Straight line given by points A[0; 8] and B[3; 6]

Calculation:

Slope-intercept form of line: y = -0.6667x+8

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

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

Slope: m = -0.6667

Slope angle of line: φ = -33°41'24″ = -0.588 rad

X intercept: x0 = 12

Y intercept: y0 = q = 8

Distance line from the origin: d0 = 6.6564

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

Vector: AB = (3; -2)

Normal vector: n = (2; 3)

Midpoint of the segment AB: M = [1.5; 7]

Perpendicular Bisector equation: 3x-2y+9.5 = 0


Vector OA = (0; 8) ;   |OA| = 8
Vector OB = (3; 6) ;   |OB| = 6.7082
Scalar product OA .OB = 48
Angle ∠ AOB = 26°33'54″ = 0.4636 rad