Line slope calculator 2x-3y=-8


Enter coordinates of two different points:

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

Calculation:

Slope-intercept form of line: y = 0.6667x+2.6667

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

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

Slope: m = 0.6667

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

X intercept: x0 = -4

Y intercept: y0 = q = 2.6667

Distance line from the origin: d0 = 2.2188

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

Vector: AB = (3; 2)

Normal vector: n = (2; -3)

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

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


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