Line slope calculator 2x-3y=-24


Enter the coordinates of two different points:
Line slope diagram

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

Calculation:

Slope: m = 0.6667

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 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; 9]

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

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